6n-22=8(-7n+5)

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Solution for 6n-22=8(-7n+5) equation:


Simplifying
6n + -22 = 8(-7n + 5)

Reorder the terms:
-22 + 6n = 8(-7n + 5)

Reorder the terms:
-22 + 6n = 8(5 + -7n)
-22 + 6n = (5 * 8 + -7n * 8)
-22 + 6n = (40 + -56n)

Solving
-22 + 6n = 40 + -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.
-22 + 6n + 56n = 40 + -56n + 56n

Combine like terms: 6n + 56n = 62n
-22 + 62n = 40 + -56n + 56n

Combine like terms: -56n + 56n = 0
-22 + 62n = 40 + 0
-22 + 62n = 40

Add '22' to each side of the equation.
-22 + 22 + 62n = 40 + 22

Combine like terms: -22 + 22 = 0
0 + 62n = 40 + 22
62n = 40 + 22

Combine like terms: 40 + 22 = 62
62n = 62

Divide each side by '62'.
n = 1

Simplifying
n = 1

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