7(-6+4n)-6n=-4n+36

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Solution for 7(-6+4n)-6n=-4n+36 equation:


Simplifying
7(-6 + 4n) + -6n = -4n + 36
(-6 * 7 + 4n * 7) + -6n = -4n + 36
(-42 + 28n) + -6n = -4n + 36

Combine like terms: 28n + -6n = 22n
-42 + 22n = -4n + 36

Reorder the terms:
-42 + 22n = 36 + -4n

Solving
-42 + 22n = 36 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-42 + 22n + 4n = 36 + -4n + 4n

Combine like terms: 22n + 4n = 26n
-42 + 26n = 36 + -4n + 4n

Combine like terms: -4n + 4n = 0
-42 + 26n = 36 + 0
-42 + 26n = 36

Add '42' to each side of the equation.
-42 + 42 + 26n = 36 + 42

Combine like terms: -42 + 42 = 0
0 + 26n = 36 + 42
26n = 36 + 42

Combine like terms: 36 + 42 = 78
26n = 78

Divide each side by '26'.
n = 3

Simplifying
n = 3

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