How do you solve $- 4 (- 8 - 2 n) - 5 n = 7 n + 16$ $-4( - 8- 2n ) - 5n = 7n + 16$ ?

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Answer 1 · 2018-01-15T23:03:49

$n = 4$ $n = 4$

1) Expand the bracket

$- 8 \cdot (- 4) = 32$ $-8 * (-4) = 32$

$- 4 \cdot (- 2 n) = 8 n$ $-4 * (-2n) = 8n$

$32 + 8 n - 5 n = 7 n + 16$ $32 + 8n - 5n = 7n + 16$

2) Solve the equation

$32 + 8 n - 5 n = 7 n + 16$ $32 + 8n - 5n = 7n + 16$

$32 + 3 n = 7 n + 16$ $32 + 3n = 7n + 16$

$32 - 16 + 3 n = 7 n + 16 - 16$ $32 - 16 + 3n = 7n + 16 - 16$

$16 + 3 n = 7 n$ $16 + 3n = 7n$

$16 + 3 n - 3 n = 7 n - 3 n$ $16 + 3n -3n = 7n - 3n$

$16 = 4 n$ $16 = 4n$

$n = \frac{16}{4}$ $n = 16/4$

$n = 4$ $n = 4$

How do you solve −4(−8−2n)−5n=7n+16-4( - 8- 2n ) - 5n = 7n + 16?