-3(5n-6)=-10n-7

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Solution for -3(5n-6)=-10n-7 equation:


Simplifying
-3(5n + -6) = -10n + -7

Reorder the terms:
-3(-6 + 5n) = -10n + -7
(-6 * -3 + 5n * -3) = -10n + -7
(18 + -15n) = -10n + -7

Reorder the terms:
18 + -15n = -7 + -10n

Solving
18 + -15n = -7 + -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.
18 + -15n + 10n = -7 + -10n + 10n

Combine like terms: -15n + 10n = -5n
18 + -5n = -7 + -10n + 10n

Combine like terms: -10n + 10n = 0
18 + -5n = -7 + 0
18 + -5n = -7

Add '-18' to each side of the equation.
18 + -18 + -5n = -7 + -18

Combine like terms: 18 + -18 = 0
0 + -5n = -7 + -18
-5n = -7 + -18

Combine like terms: -7 + -18 = -25
-5n = -25

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

Simplifying
n = 5

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