8(2n-4)=(7n+6)+7

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Solution for 8(2n-4)=(7n+6)+7 equation:


Simplifying
8(2n + -4) = (7n + 6) + 7

Reorder the terms:
8(-4 + 2n) = (7n + 6) + 7
(-4 * 8 + 2n * 8) = (7n + 6) + 7
(-32 + 16n) = (7n + 6) + 7

Reorder the terms:
-32 + 16n = (6 + 7n) + 7

Remove parenthesis around (6 + 7n)
-32 + 16n = 6 + 7n + 7

Reorder the terms:
-32 + 16n = 6 + 7 + 7n

Combine like terms: 6 + 7 = 13
-32 + 16n = 13 + 7n

Solving
-32 + 16n = 13 + 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.
-32 + 16n + -7n = 13 + 7n + -7n

Combine like terms: 16n + -7n = 9n
-32 + 9n = 13 + 7n + -7n

Combine like terms: 7n + -7n = 0
-32 + 9n = 13 + 0
-32 + 9n = 13

Add '32' to each side of the equation.
-32 + 32 + 9n = 13 + 32

Combine like terms: -32 + 32 = 0
0 + 9n = 13 + 32
9n = 13 + 32

Combine like terms: 13 + 32 = 45
9n = 45

Divide each side by '9'.
n = 5

Simplifying
n = 5

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