-6n-39=-7(4n-7)

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Solution for -6n-39=-7(4n-7) equation:


Simplifying
-6n + -39 = -7(4n + -7)

Reorder the terms:
-39 + -6n = -7(4n + -7)

Reorder the terms:
-39 + -6n = -7(-7 + 4n)
-39 + -6n = (-7 * -7 + 4n * -7)
-39 + -6n = (49 + -28n)

Solving
-39 + -6n = 49 + -28n

Solving for variable 'n'.

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

Add '28n' to each side of the equation.
-39 + -6n + 28n = 49 + -28n + 28n

Combine like terms: -6n + 28n = 22n
-39 + 22n = 49 + -28n + 28n

Combine like terms: -28n + 28n = 0
-39 + 22n = 49 + 0
-39 + 22n = 49

Add '39' to each side of the equation.
-39 + 39 + 22n = 49 + 39

Combine like terms: -39 + 39 = 0
0 + 22n = 49 + 39
22n = 49 + 39

Combine like terms: 49 + 39 = 88
22n = 88

Divide each side by '22'.
n = 4

Simplifying
n = 4

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