-10(6n-7)=2(10n-5)

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Solution for -10(6n-7)=2(10n-5) equation:


Simplifying
-10(6n + -7) = 2(10n + -5)

Reorder the terms:
-10(-7 + 6n) = 2(10n + -5)
(-7 * -10 + 6n * -10) = 2(10n + -5)
(70 + -60n) = 2(10n + -5)

Reorder the terms:
70 + -60n = 2(-5 + 10n)
70 + -60n = (-5 * 2 + 10n * 2)
70 + -60n = (-10 + 20n)

Solving
70 + -60n = -10 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
70 + -60n + -20n = -10 + 20n + -20n

Combine like terms: -60n + -20n = -80n
70 + -80n = -10 + 20n + -20n

Combine like terms: 20n + -20n = 0
70 + -80n = -10 + 0
70 + -80n = -10

Add '-70' to each side of the equation.
70 + -70 + -80n = -10 + -70

Combine like terms: 70 + -70 = 0
0 + -80n = -10 + -70
-80n = -10 + -70

Combine like terms: -10 + -70 = -80
-80n = -80

Divide each side by '-80'.
n = 1

Simplifying
n = 1

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