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

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


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

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

Reorder the terms:
-21 + 7n = 5(-8 + n)
-21 + 7n = (-8 * 5 + n * 5)
-21 + 7n = (-40 + 5n)

Solving
-21 + 7n = -40 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-21 + 7n + -5n = -40 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-21 + 2n = -40 + 5n + -5n

Combine like terms: 5n + -5n = 0
-21 + 2n = -40 + 0
-21 + 2n = -40

Add '21' to each side of the equation.
-21 + 21 + 2n = -40 + 21

Combine like terms: -21 + 21 = 0
0 + 2n = -40 + 21
2n = -40 + 21

Combine like terms: -40 + 21 = -19
2n = -19

Divide each side by '2'.
n = -9.5

Simplifying
n = -9.5

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