7(3n+3)=7(9n+8)+5

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Solution for 7(3n+3)=7(9n+8)+5 equation: 


Simplifying
7(3n + 3) = 7(9n + 8) + 5

Reorder the terms:
7(3 + 3n) = 7(9n + 8) + 5
(3 * 7 + 3n * 7) = 7(9n + 8) + 5
(21 + 21n) = 7(9n + 8) + 5

Reorder the terms:
21 + 21n = 7(8 + 9n) + 5
21 + 21n = (8 * 7 + 9n * 7) + 5
21 + 21n = (56 + 63n) + 5

Reorder the terms:
21 + 21n = 56 + 5 + 63n

Combine like terms: 56 + 5 = 61
21 + 21n = 61 + 63n

Solving
21 + 21n = 61 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
21 + 21n + -63n = 61 + 63n + -63n

Combine like terms: 21n + -63n = -42n
21 + -42n = 61 + 63n + -63n

Combine like terms: 63n + -63n = 0
21 + -42n = 61 + 0
21 + -42n = 61

Add '-21' to each side of the equation.
21 + -21 + -42n = 61 + -21

Combine like terms: 21 + -21 = 0
0 + -42n = 61 + -21
-42n = 61 + -21

Combine like terms: 61 + -21 = 40
-42n = 40

Divide each side by '-42'.
n = -0.9523809524

Simplifying
n = -0.9523809524

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