1. solve -4(4n + 7) = 32 - n

Explanation:

Step1: Expand the left - hand side

$-4\times4n-4\times7 = 32 - n$ $-16n-28 = 32 - n$

Step2: Add $16n$ to both sides

$-16n + 16n-28=32 - n+16n$ $-28 = 32 + 15n$

Step3: Subtract 32 from both sides

$-28-32=32 - 32+15n$ $-60 = 15n$

Step4: Divide both sides by 15

$\frac{-60}{15}=\frac{15n}{15}$ $n=-4$

Answer:

$n = - 4$