2(7n+4)+7=-3(-6n+7)

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Solution for 2(7n+4)+7=-3(-6n+7) equation:


Simplifying
2(7n + 4) + 7 = -3(-6n + 7)

Reorder the terms:
2(4 + 7n) + 7 = -3(-6n + 7)
(4 * 2 + 7n * 2) + 7 = -3(-6n + 7)
(8 + 14n) + 7 = -3(-6n + 7)

Reorder the terms:
8 + 7 + 14n = -3(-6n + 7)

Combine like terms: 8 + 7 = 15
15 + 14n = -3(-6n + 7)

Reorder the terms:
15 + 14n = -3(7 + -6n)
15 + 14n = (7 * -3 + -6n * -3)
15 + 14n = (-21 + 18n)

Solving
15 + 14n = -21 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
15 + 14n + -18n = -21 + 18n + -18n

Combine like terms: 14n + -18n = -4n
15 + -4n = -21 + 18n + -18n

Combine like terms: 18n + -18n = 0
15 + -4n = -21 + 0
15 + -4n = -21

Add '-15' to each side of the equation.
15 + -15 + -4n = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -4n = -21 + -15
-4n = -21 + -15

Combine like terms: -21 + -15 = -36
-4n = -36

Divide each side by '-4'.
n = 9

Simplifying
n = 9

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