-2(-4n+3)+7n=12-(n+2)

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Solution for -2(-4n+3)+7n=12-(n+2) equation:


Simplifying
-2(-4n + 3) + 7n = 12 + -1(n + 2)

Reorder the terms:
-2(3 + -4n) + 7n = 12 + -1(n + 2)
(3 * -2 + -4n * -2) + 7n = 12 + -1(n + 2)
(-6 + 8n) + 7n = 12 + -1(n + 2)

Combine like terms: 8n + 7n = 15n
-6 + 15n = 12 + -1(n + 2)

Reorder the terms:
-6 + 15n = 12 + -1(2 + n)
-6 + 15n = 12 + (2 * -1 + n * -1)
-6 + 15n = 12 + (-2 + -1n)

Combine like terms: 12 + -2 = 10
-6 + 15n = 10 + -1n

Solving
-6 + 15n = 10 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-6 + 15n + n = 10 + -1n + n

Combine like terms: 15n + n = 16n
-6 + 16n = 10 + -1n + n

Combine like terms: -1n + n = 0
-6 + 16n = 10 + 0
-6 + 16n = 10

Add '6' to each side of the equation.
-6 + 6 + 16n = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 16n = 10 + 6
16n = 10 + 6

Combine like terms: 10 + 6 = 16
16n = 16

Divide each side by '16'.
n = 1

Simplifying
n = 1

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