4(5n-11)=-2(1-7n)

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Solution for 4(5n-11)=-2(1-7n) equation:


Simplifying
4(5n + -11) = -2(1 + -7n)

Reorder the terms:
4(-11 + 5n) = -2(1 + -7n)
(-11 * 4 + 5n * 4) = -2(1 + -7n)
(-44 + 20n) = -2(1 + -7n)
-44 + 20n = (1 * -2 + -7n * -2)
-44 + 20n = (-2 + 14n)

Solving
-44 + 20n = -2 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-44 + 20n + -14n = -2 + 14n + -14n

Combine like terms: 20n + -14n = 6n
-44 + 6n = -2 + 14n + -14n

Combine like terms: 14n + -14n = 0
-44 + 6n = -2 + 0
-44 + 6n = -2

Add '44' to each side of the equation.
-44 + 44 + 6n = -2 + 44

Combine like terms: -44 + 44 = 0
0 + 6n = -2 + 44
6n = -2 + 44

Combine like terms: -2 + 44 = 42
6n = 42

Divide each side by '6'.
n = 7

Simplifying
n = 7

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