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

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


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

Reorder the terms:
8(-2 + 2n) = (7n + 4) + 3
(-2 * 8 + 2n * 8) = (7n + 4) + 3
(-16 + 16n) = (7n + 4) + 3

Reorder the terms:
-16 + 16n = (4 + 7n) + 3

Remove parenthesis around (4 + 7n)
-16 + 16n = 4 + 7n + 3

Reorder the terms:
-16 + 16n = 4 + 3 + 7n

Combine like terms: 4 + 3 = 7
-16 + 16n = 7 + 7n

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

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

Combine like terms: 7n + -7n = 0
-16 + 9n = 7 + 0
-16 + 9n = 7

Add '16' to each side of the equation.
-16 + 16 + 9n = 7 + 16

Combine like terms: -16 + 16 = 0
0 + 9n = 7 + 16
9n = 7 + 16

Combine like terms: 7 + 16 = 23
9n = 23

Divide each side by '9'.
n = 2.555555556

Simplifying
n = 2.555555556

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