-4n+4(12+10n)=-6(-5-7n)

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Solution for -4n+4(12+10n)=-6(-5-7n) equation:


Simplifying
-4n + 4(12 + 10n) = -6(-5 + -7n)
-4n + (12 * 4 + 10n * 4) = -6(-5 + -7n)
-4n + (48 + 40n) = -6(-5 + -7n)

Reorder the terms:
48 + -4n + 40n = -6(-5 + -7n)

Combine like terms: -4n + 40n = 36n
48 + 36n = -6(-5 + -7n)
48 + 36n = (-5 * -6 + -7n * -6)
48 + 36n = (30 + 42n)

Solving
48 + 36n = 30 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
48 + 36n + -42n = 30 + 42n + -42n

Combine like terms: 36n + -42n = -6n
48 + -6n = 30 + 42n + -42n

Combine like terms: 42n + -42n = 0
48 + -6n = 30 + 0
48 + -6n = 30

Add '-48' to each side of the equation.
48 + -48 + -6n = 30 + -48

Combine like terms: 48 + -48 = 0
0 + -6n = 30 + -48
-6n = 30 + -48

Combine like terms: 30 + -48 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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