-7(3n+7)=5(-6n-8)

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Solution for -7(3n+7)=5(-6n-8) equation:


Simplifying
-7(3n + 7) = 5(-6n + -8)

Reorder the terms:
-7(7 + 3n) = 5(-6n + -8)
(7 * -7 + 3n * -7) = 5(-6n + -8)
(-49 + -21n) = 5(-6n + -8)

Reorder the terms:
-49 + -21n = 5(-8 + -6n)
-49 + -21n = (-8 * 5 + -6n * 5)
-49 + -21n = (-40 + -30n)

Solving
-49 + -21n = -40 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
-49 + -21n + 30n = -40 + -30n + 30n

Combine like terms: -21n + 30n = 9n
-49 + 9n = -40 + -30n + 30n

Combine like terms: -30n + 30n = 0
-49 + 9n = -40 + 0
-49 + 9n = -40

Add '49' to each side of the equation.
-49 + 49 + 9n = -40 + 49

Combine like terms: -49 + 49 = 0
0 + 9n = -40 + 49
9n = -40 + 49

Combine like terms: -40 + 49 = 9
9n = 9

Divide each side by '9'.
n = 1

Simplifying
n = 1

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