Question

solving equations with distributive pro
solve each equation.

1. -5 - 3(1 + 5a) = -2
2. -9(6x + 1) = -51
3. -5(3 + 4x) - 3 = -60
4. d(4 + 2m) = 48
5. -2 - 3(1 - 4h) = -53
6. 4(1 - 4k) = 52

Explanation:

Step1: Distribute the coefficient

$-3 - 3(1 + 3a) = -42$
$-3 - 3 - 9a = -42$

Step2: Combine like terms

$-6 - 9a = -42$

Step3: Isolate variable term

$-9a = -42 + 6$
$-9a = -36$

Step4: Solve for $a$

$a = \frac{-36}{-9}$

Step1: Distribute the coefficient

$-3(4b + 1) = -21$
$-12b - 3 = -21$

Step2: Isolate variable term

$-12b = -21 + 3$
$-12b = -18$

Step3: Solve for $b$

$b = \frac{-18}{-12}$

Step1: Distribute the coefficient

$-3(3 + 4x) - 3 = -60$
$-9 - 12x - 3 = -60$

Step2: Combine like terms

$-12 - 12x = -60$

Step3: Isolate variable term

$-12x = -60 + 12$
$-12x = -48$

Step4: Solve for $x$

$x = \frac{-48}{-12}$

Step1: Distribute the coefficient

$4(4 + 2m) = 48$
$16 + 8m = 48$

Step2: Isolate variable term

$8m = 48 - 16$
$8m = 32$

Step3: Solve for $m$

$m = \frac{32}{8}$

Answer:

$a = 4$

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