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

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


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

Reorder the terms:
6 + 3(4 + 6n) = (4n + -6) + -7
6 + (4 * 3 + 6n * 3) = (4n + -6) + -7
6 + (12 + 18n) = (4n + -6) + -7

Combine like terms: 6 + 12 = 18
18 + 18n = (4n + -6) + -7

Reorder the terms:
18 + 18n = (-6 + 4n) + -7

Remove parenthesis around (-6 + 4n)
18 + 18n = -6 + 4n + -7

Reorder the terms:
18 + 18n = -6 + -7 + 4n

Combine like terms: -6 + -7 = -13
18 + 18n = -13 + 4n

Solving
18 + 18n = -13 + 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.
18 + 18n + -4n = -13 + 4n + -4n

Combine like terms: 18n + -4n = 14n
18 + 14n = -13 + 4n + -4n

Combine like terms: 4n + -4n = 0
18 + 14n = -13 + 0
18 + 14n = -13

Add '-18' to each side of the equation.
18 + -18 + 14n = -13 + -18

Combine like terms: 18 + -18 = 0
0 + 14n = -13 + -18
14n = -13 + -18

Combine like terms: -13 + -18 = -31
14n = -31

Divide each side by '14'.
n = -2.214285714

Simplifying
n = -2.214285714

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