4-5[3n+6]=39-2n

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Solution for 4-5[3n+6]=39-2n equation:


Simplifying
4 + -5[3n + 6] = 39 + -2n

Reorder the terms:
4 + -5[6 + 3n] = 39 + -2n
4 + [6 * -5 + 3n * -5] = 39 + -2n
4 + [-30 + -15n] = 39 + -2n

Combine like terms: 4 + -30 = -26
-26 + -15n = 39 + -2n

Solving
-26 + -15n = 39 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-26 + -15n + 2n = 39 + -2n + 2n

Combine like terms: -15n + 2n = -13n
-26 + -13n = 39 + -2n + 2n

Combine like terms: -2n + 2n = 0
-26 + -13n = 39 + 0
-26 + -13n = 39

Add '26' to each side of the equation.
-26 + 26 + -13n = 39 + 26

Combine like terms: -26 + 26 = 0
0 + -13n = 39 + 26
-13n = 39 + 26

Combine like terms: 39 + 26 = 65
-13n = 65

Divide each side by '-13'.
n = -5

Simplifying
n = -5

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