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

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


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

Reorder the terms:
-5 + 3n = 8(8n + 7)

Reorder the terms:
-5 + 3n = 8(7 + 8n)
-5 + 3n = (7 * 8 + 8n * 8)
-5 + 3n = (56 + 64n)

Solving
-5 + 3n = 56 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
-5 + 3n + -64n = 56 + 64n + -64n

Combine like terms: 3n + -64n = -61n
-5 + -61n = 56 + 64n + -64n

Combine like terms: 64n + -64n = 0
-5 + -61n = 56 + 0
-5 + -61n = 56

Add '5' to each side of the equation.
-5 + 5 + -61n = 56 + 5

Combine like terms: -5 + 5 = 0
0 + -61n = 56 + 5
-61n = 56 + 5

Combine like terms: 56 + 5 = 61
-61n = 61

Divide each side by '-61'.
n = -1

Simplifying
n = -1

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