-7(6n+7)=7-7(3n+8)

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Solution for -7(6n+7)=7-7(3n+8) equation:


Simplifying
-7(6n + 7) = 7 + -7(3n + 8)

Reorder the terms:
-7(7 + 6n) = 7 + -7(3n + 8)
(7 * -7 + 6n * -7) = 7 + -7(3n + 8)
(-49 + -42n) = 7 + -7(3n + 8)

Reorder the terms:
-49 + -42n = 7 + -7(8 + 3n)
-49 + -42n = 7 + (8 * -7 + 3n * -7)
-49 + -42n = 7 + (-56 + -21n)

Combine like terms: 7 + -56 = -49
-49 + -42n = -49 + -21n

Add '49' to each side of the equation.
-49 + 49 + -42n = -49 + 49 + -21n

Combine like terms: -49 + 49 = 0
0 + -42n = -49 + 49 + -21n
-42n = -49 + 49 + -21n

Combine like terms: -49 + 49 = 0
-42n = 0 + -21n
-42n = -21n

Solving
-42n = -21n

Solving for variable 'n'.

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

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

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

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

Divide each side by '-21'.
n = 0

Simplifying
n = 0

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