8(2n-7)=n-11

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Solution for 8(2n-7)=n-11 equation:


Simplifying
8(2n + -7) = n + -11

Reorder the terms:
8(-7 + 2n) = n + -11
(-7 * 8 + 2n * 8) = n + -11
(-56 + 16n) = n + -11

Reorder the terms:
-56 + 16n = -11 + n

Solving
-56 + 16n = -11 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-56 + 16n + -1n = -11 + n + -1n

Combine like terms: 16n + -1n = 15n
-56 + 15n = -11 + n + -1n

Combine like terms: n + -1n = 0
-56 + 15n = -11 + 0
-56 + 15n = -11

Add '56' to each side of the equation.
-56 + 56 + 15n = -11 + 56

Combine like terms: -56 + 56 = 0
0 + 15n = -11 + 56
15n = -11 + 56

Combine like terms: -11 + 56 = 45
15n = 45

Divide each side by '15'.
n = 3

Simplifying
n = 3

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