5(-3n+8)=5+5(6-2n)

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Solution for 5(-3n+8)=5+5(6-2n) equation:


Simplifying
5(-3n + 8) = 5 + 5(6 + -2n)

Reorder the terms:
5(8 + -3n) = 5 + 5(6 + -2n)
(8 * 5 + -3n * 5) = 5 + 5(6 + -2n)
(40 + -15n) = 5 + 5(6 + -2n)
40 + -15n = 5 + (6 * 5 + -2n * 5)
40 + -15n = 5 + (30 + -10n)

Combine like terms: 5 + 30 = 35
40 + -15n = 35 + -10n

Solving
40 + -15n = 35 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
40 + -15n + 10n = 35 + -10n + 10n

Combine like terms: -15n + 10n = -5n
40 + -5n = 35 + -10n + 10n

Combine like terms: -10n + 10n = 0
40 + -5n = 35 + 0
40 + -5n = 35

Add '-40' to each side of the equation.
40 + -40 + -5n = 35 + -40

Combine like terms: 40 + -40 = 0
0 + -5n = 35 + -40
-5n = 35 + -40

Combine like terms: 35 + -40 = -5
-5n = -5

Divide each side by '-5'.
n = 1

Simplifying
n = 1

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