-7(n-2)+4(n+1)=

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Solution for -7(n-2)+4(n+1)= equation:


Simplifying
-7(n + -2) + 4(n + 1) = 0

Reorder the terms:
-7(-2 + n) + 4(n + 1) = 0
(-2 * -7 + n * -7) + 4(n + 1) = 0
(14 + -7n) + 4(n + 1) = 0

Reorder the terms:
14 + -7n + 4(1 + n) = 0
14 + -7n + (1 * 4 + n * 4) = 0
14 + -7n + (4 + 4n) = 0

Reorder the terms:
14 + 4 + -7n + 4n = 0

Combine like terms: 14 + 4 = 18
18 + -7n + 4n = 0

Combine like terms: -7n + 4n = -3n
18 + -3n = 0

Solving
18 + -3n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -3n = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -3n = 0 + -18
-3n = 0 + -18

Combine like terms: 0 + -18 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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