-5n-6=5(2n-2)+4

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Solution for -5n-6=5(2n-2)+4 equation:


Simplifying
-5n + -6 = 5(2n + -2) + 4

Reorder the terms:
-6 + -5n = 5(2n + -2) + 4

Reorder the terms:
-6 + -5n = 5(-2 + 2n) + 4
-6 + -5n = (-2 * 5 + 2n * 5) + 4
-6 + -5n = (-10 + 10n) + 4

Reorder the terms:
-6 + -5n = -10 + 4 + 10n

Combine like terms: -10 + 4 = -6
-6 + -5n = -6 + 10n

Add '6' to each side of the equation.
-6 + 6 + -5n = -6 + 6 + 10n

Combine like terms: -6 + 6 = 0
0 + -5n = -6 + 6 + 10n
-5n = -6 + 6 + 10n

Combine like terms: -6 + 6 = 0
-5n = 0 + 10n
-5n = 10n

Solving
-5n = 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.
-5n + -10n = 10n + -10n

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

Combine like terms: 10n + -10n = 0
-15n = 0

Divide each side by '-15'.
n = 0

Simplifying
n = 0

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