4-(-2n-7)=8(2n+2)+3

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Solution for 4-(-2n-7)=8(2n+2)+3 equation: 


Simplifying
4 + -1(-2n + -7) = 8(2n + 2) + 3

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

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

Reorder the terms:
11 + 2n = 8(2 + 2n) + 3
11 + 2n = (2 * 8 + 2n * 8) + 3
11 + 2n = (16 + 16n) + 3

Reorder the terms:
11 + 2n = 16 + 3 + 16n

Combine like terms: 16 + 3 = 19
11 + 2n = 19 + 16n

Solving
11 + 2n = 19 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
11 + 2n + -16n = 19 + 16n + -16n

Combine like terms: 2n + -16n = -14n
11 + -14n = 19 + 16n + -16n

Combine like terms: 16n + -16n = 0
11 + -14n = 19 + 0
11 + -14n = 19

Add '-11' to each side of the equation.
11 + -11 + -14n = 19 + -11

Combine like terms: 11 + -11 = 0
0 + -14n = 19 + -11
-14n = 19 + -11

Combine like terms: 19 + -11 = 8
-14n = 8

Divide each side by '-14'.
n = -0.5714285714

Simplifying
n = -0.5714285714

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