7(3n+3)=7(8n+2)+8

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Solution for 7(3n+3)=7(8n+2)+8 equation: 


Simplifying
7(3n + 3) = 7(8n + 2) + 8

Reorder the terms:
7(3 + 3n) = 7(8n + 2) + 8
(3 * 7 + 3n * 7) = 7(8n + 2) + 8
(21 + 21n) = 7(8n + 2) + 8

Reorder the terms:
21 + 21n = 7(2 + 8n) + 8
21 + 21n = (2 * 7 + 8n * 7) + 8
21 + 21n = (14 + 56n) + 8

Reorder the terms:
21 + 21n = 14 + 8 + 56n

Combine like terms: 14 + 8 = 22
21 + 21n = 22 + 56n

Solving
21 + 21n = 22 + 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.
21 + 21n + -56n = 22 + 56n + -56n

Combine like terms: 21n + -56n = -35n
21 + -35n = 22 + 56n + -56n

Combine like terms: 56n + -56n = 0
21 + -35n = 22 + 0
21 + -35n = 22

Add '-21' to each side of the equation.
21 + -21 + -35n = 22 + -21

Combine like terms: 21 + -21 = 0
0 + -35n = 22 + -21
-35n = 22 + -21

Combine like terms: 22 + -21 = 1
-35n = 1

Divide each side by '-35'.
n = -0.02857142857

Simplifying
n = -0.02857142857

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