-16n+5=-7(-6+8n)+3

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Solution for -16n+5=-7(-6+8n)+3 equation:


Simplifying
-16n + 5 = -7(-6 + 8n) + 3

Reorder the terms:
5 + -16n = -7(-6 + 8n) + 3
5 + -16n = (-6 * -7 + 8n * -7) + 3
5 + -16n = (42 + -56n) + 3

Reorder the terms:
5 + -16n = 42 + 3 + -56n

Combine like terms: 42 + 3 = 45
5 + -16n = 45 + -56n

Solving
5 + -16n = 45 + -56n

Solving for variable 'n'.

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

Add '56n' to each side of the equation.
5 + -16n + 56n = 45 + -56n + 56n

Combine like terms: -16n + 56n = 40n
5 + 40n = 45 + -56n + 56n

Combine like terms: -56n + 56n = 0
5 + 40n = 45 + 0
5 + 40n = 45

Add '-5' to each side of the equation.
5 + -5 + 40n = 45 + -5

Combine like terms: 5 + -5 = 0
0 + 40n = 45 + -5
40n = 45 + -5

Combine like terms: 45 + -5 = 40
40n = 40

Divide each side by '40'.
n = 1

Simplifying
n = 1

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