13=8(8n-7)+5n

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Solution for 13=8(8n-7)+5n equation:


Simplifying
13 = 8(8n + -7) + 5n

Reorder the terms:
13 = 8(-7 + 8n) + 5n
13 = (-7 * 8 + 8n * 8) + 5n
13 = (-56 + 64n) + 5n

Combine like terms: 64n + 5n = 69n
13 = -56 + 69n

Solving
13 = -56 + 69n

Solving for variable 'n'.

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

Add '-69n' to each side of the equation.
13 + -69n = -56 + 69n + -69n

Combine like terms: 69n + -69n = 0
13 + -69n = -56 + 0
13 + -69n = -56

Add '-13' to each side of the equation.
13 + -13 + -69n = -56 + -13

Combine like terms: 13 + -13 = 0
0 + -69n = -56 + -13
-69n = -56 + -13

Combine like terms: -56 + -13 = -69
-69n = -69

Divide each side by '-69'.
n = 1

Simplifying
n = 1

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