7+3(n-2)-11n=-7(n+2)+4

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Solution for 7+3(n-2)-11n=-7(n+2)+4 equation:


Simplifying
7 + 3(n + -2) + -11n = -7(n + 2) + 4

Reorder the terms:
7 + 3(-2 + n) + -11n = -7(n + 2) + 4
7 + (-2 * 3 + n * 3) + -11n = -7(n + 2) + 4
7 + (-6 + 3n) + -11n = -7(n + 2) + 4

Combine like terms: 7 + -6 = 1
1 + 3n + -11n = -7(n + 2) + 4

Combine like terms: 3n + -11n = -8n
1 + -8n = -7(n + 2) + 4

Reorder the terms:
1 + -8n = -7(2 + n) + 4
1 + -8n = (2 * -7 + n * -7) + 4
1 + -8n = (-14 + -7n) + 4

Reorder the terms:
1 + -8n = -14 + 4 + -7n

Combine like terms: -14 + 4 = -10
1 + -8n = -10 + -7n

Solving
1 + -8n = -10 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
1 + -8n + 7n = -10 + -7n + 7n

Combine like terms: -8n + 7n = -1n
1 + -1n = -10 + -7n + 7n

Combine like terms: -7n + 7n = 0
1 + -1n = -10 + 0
1 + -1n = -10

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

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

Combine like terms: -10 + -1 = -11
-1n = -11

Divide each side by '-1'.
n = 11

Simplifying
n = 11

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