Question

1. (4b + 4) - (-4b - 4)
2. (-8c + 15) - (2c + 5)
3. (0w + 7) - (4w + 3)
4. (y - 3) - (9y - 3)
5. (-u - 4) - (5u + 3)
6. (6g + 2) - (7g + 7)
7. (-9h - 9) - (3h + 3)
8. (17v + 4) - (-4v - 7)
9. (-9l + 9) - (5l - 9)

Explanation:

Step1: Distribute the negative sign

$(4b + 4) + 4b + 4$

Step2: Combine like terms

$4b + 4b + 4 + 4 = 8b + 8$

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Step1: Distribute the negative sign

$(-8c + 15) - 2c - 5$

Step2: Combine like terms

$-8c - 2c + 15 - 5 = -10c + 10$

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Step1: Distribute the negative sign

$(0w + 7) - 4w - 3$

Step2: Combine like terms

$0w - 4w + 7 - 3 = -4w + 4$

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Step1: Distribute the negative sign

$(y - 3) - 9y + 3$

Step2: Combine like terms

$y - 9y - 3 + 3 = -8y$

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Step1: Distribute the negative sign

$(-u - 4) - 5u - 3$

Step2: Combine like terms

$-u - 5u - 4 - 3 = -6u - 7$

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Step1: Distribute the negative sign

$(6g + 2) - 7g - 7$

Step2: Combine like terms

$6g - 7g + 2 - 7 = -g - 5$

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Step1: Distribute the negative sign

$(-9h - 9) - 3h - 3$

Step2: Combine like terms

$-9h - 3h - 9 - 3 = -12h - 12$

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Step1: Distribute the negative sign

$(17v + 4) + 4v + 7$

Step2: Combine like terms

$17v + 4v + 4 + 7 = 21v + 11$

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Step1: Distribute the negative sign

$(-9l + 9) - 5l + 9$

Step2: Combine like terms

$-9l - 5l + 9 + 9 = -14l + 18$

Answer:

1. $8b + 8$
2. $-10c + 10$
3. $-4w + 4$
4. $-8y$
5. $-6u - 7$
6. $-g - 5$
7. $-12h - 12$
8. $21v + 11$
9. $-14l + 18$