4+5n=8(8+2n)+6

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Solution for 4+5n=8(8+2n)+6 equation:


Simplifying
4 + 5n = 8(8 + 2n) + 6
4 + 5n = (8 * 8 + 2n * 8) + 6
4 + 5n = (64 + 16n) + 6

Reorder the terms:
4 + 5n = 64 + 6 + 16n

Combine like terms: 64 + 6 = 70
4 + 5n = 70 + 16n

Solving
4 + 5n = 70 + 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.
4 + 5n + -16n = 70 + 16n + -16n

Combine like terms: 5n + -16n = -11n
4 + -11n = 70 + 16n + -16n

Combine like terms: 16n + -16n = 0
4 + -11n = 70 + 0
4 + -11n = 70

Add '-4' to each side of the equation.
4 + -4 + -11n = 70 + -4

Combine like terms: 4 + -4 = 0
0 + -11n = 70 + -4
-11n = 70 + -4

Combine like terms: 70 + -4 = 66
-11n = 66

Divide each side by '-11'.
n = -6

Simplifying
n = -6

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