52=2n-3(4n-4)

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Solution for 52=2n-3(4n-4) equation:


Simplifying
52 = 2n + -3(4n + -4)

Reorder the terms:
52 = 2n + -3(-4 + 4n)
52 = 2n + (-4 * -3 + 4n * -3)
52 = 2n + (12 + -12n)

Reorder the terms:
52 = 12 + 2n + -12n

Combine like terms: 2n + -12n = -10n
52 = 12 + -10n

Solving
52 = 12 + -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.
52 + 10n = 12 + -10n + 10n

Combine like terms: -10n + 10n = 0
52 + 10n = 12 + 0
52 + 10n = 12

Add '-52' to each side of the equation.
52 + -52 + 10n = 12 + -52

Combine like terms: 52 + -52 = 0
0 + 10n = 12 + -52
10n = 12 + -52

Combine like terms: 12 + -52 = -40
10n = -40

Divide each side by '10'.
n = -4

Simplifying
n = -4

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