5(n+7)+5=10n-5

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Solution for 5(n+7)+5=10n-5 equation:


Simplifying
5(n + 7) + 5 = 10n + -5

Reorder the terms:
5(7 + n) + 5 = 10n + -5
(7 * 5 + n * 5) + 5 = 10n + -5
(35 + 5n) + 5 = 10n + -5

Reorder the terms:
35 + 5 + 5n = 10n + -5

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

Reorder the terms:
40 + 5n = -5 + 10n

Solving
40 + 5n = -5 + 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 + 5n + -10n = -5 + 10n + -10n

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

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

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

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

Combine like terms: -5 + -40 = -45
-5n = -45

Divide each side by '-5'.
n = 9

Simplifying
n = 9

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