10n-2(3n-4)=7n-22

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Solution for 10n-2(3n-4)=7n-22 equation:


Simplifying
10n + -2(3n + -4) = 7n + -22

Reorder the terms:
10n + -2(-4 + 3n) = 7n + -22
10n + (-4 * -2 + 3n * -2) = 7n + -22
10n + (8 + -6n) = 7n + -22

Reorder the terms:
8 + 10n + -6n = 7n + -22

Combine like terms: 10n + -6n = 4n
8 + 4n = 7n + -22

Reorder the terms:
8 + 4n = -22 + 7n

Solving
8 + 4n = -22 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
8 + 4n + -7n = -22 + 7n + -7n

Combine like terms: 4n + -7n = -3n
8 + -3n = -22 + 7n + -7n

Combine like terms: 7n + -7n = 0
8 + -3n = -22 + 0
8 + -3n = -22

Add '-8' to each side of the equation.
8 + -8 + -3n = -22 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = -22 + -8
-3n = -22 + -8

Combine like terms: -22 + -8 = -30
-3n = -30

Divide each side by '-3'.
n = 10

Simplifying
n = 10

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