-10n-4(3+7n)=6(-4n+5)

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Solution for -10n-4(3+7n)=6(-4n+5) equation:


Simplifying
-10n + -4(3 + 7n) = 6(-4n + 5)
-10n + (3 * -4 + 7n * -4) = 6(-4n + 5)
-10n + (-12 + -28n) = 6(-4n + 5)

Reorder the terms:
-12 + -10n + -28n = 6(-4n + 5)

Combine like terms: -10n + -28n = -38n
-12 + -38n = 6(-4n + 5)

Reorder the terms:
-12 + -38n = 6(5 + -4n)
-12 + -38n = (5 * 6 + -4n * 6)
-12 + -38n = (30 + -24n)

Solving
-12 + -38n = 30 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
-12 + -38n + 24n = 30 + -24n + 24n

Combine like terms: -38n + 24n = -14n
-12 + -14n = 30 + -24n + 24n

Combine like terms: -24n + 24n = 0
-12 + -14n = 30 + 0
-12 + -14n = 30

Add '12' to each side of the equation.
-12 + 12 + -14n = 30 + 12

Combine like terms: -12 + 12 = 0
0 + -14n = 30 + 12
-14n = 30 + 12

Combine like terms: 30 + 12 = 42
-14n = 42

Divide each side by '-14'.
n = -3

Simplifying
n = -3

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