Question

1. -4(-8x - 8)
2. -6(7 + x)
3. -9(x - 8)
4. -8(10x + 1)
5. (1 + 2x)·5
6. -8(1 - 5x)
7. -7(5k - 4)
8. -5(7a - 6)
9. 5(n + 6)
10. 4(3r - 8)
11. 3(5 + 5x)
12. (1 + 9x)·-10

Explanation:

All problems use the distributive property: $a(b+c)=ab+ac$ or $a(b-c)=ab-ac$, including handling negative coefficients.

14: Distribute $-6$ to terms inside

$-6(7+x) = (-6)(7) + (-6)(x)$
$=-42 -6x$

15: Distribute $-3$ to terms inside

$-3(x-5) = (-3)(x) + (-3)(-5)$
$=-3x +15$

16: Distribute $-5$ to terms inside

$-5(10x+1) = (-5)(10x) + (-5)(1)$
$=-50x -5$

17: Distribute $5$ to terms inside

$(1+2x)\cdot5 = (1)(5) + (2x)(5)$
$=5 +10x$

18: Distribute $-8$ to terms inside

$-8(1-5x) = (-8)(1) + (-8)(-5x)$
$=-8 +40x$

19: Distribute $-7$ to terms inside

$-7(5k-4) = (-7)(5k) + (-7)(-4)$
$=-35k +28$

20: Distribute $-5$ to terms inside

$-5(7a-6) = (-5)(7a) + (-5)(-6)$
$=-35a +30$

21: Distribute $5$ to terms inside

$5(m+6) = (5)(m) + (5)(6)$
$=5m +30$

22: Distribute $4$ to terms inside

$4(3r-8) = (4)(3r) + (4)(-8)$
$=12r -32$

23: Distribute $3$ to terms inside

$3(5+5x) = (3)(5) + (3)(5x)$
$=15 +15x$

24: Distribute $-10$ to terms inside

$(1+9x)\cdot-10 = (1)(-10) + (9x)(-10)$
$=-10 -90x$

Answer:

1. $\boldsymbol{-42 -6x}$
2. $\boldsymbol{-3x +15}$
3. $\boldsymbol{-50x -5}$
4. $\boldsymbol{5 +10x}$
5. $\boldsymbol{-8 +40x}$
6. $\boldsymbol{-35k +28}$
7. $\boldsymbol{-35a +30}$
8. $\boldsymbol{5m +30}$
9. $\boldsymbol{12r -32}$
10. $\boldsymbol{15 +15x}$
11. $\boldsymbol{-10 -90x}$

(Note: Problem 13 is cut off and cannot be solved with the provided image content)