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

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


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

Reorder the terms:
4(-4 + 3n) = (2n + 7) + 6
(-4 * 4 + 3n * 4) = (2n + 7) + 6
(-16 + 12n) = (2n + 7) + 6

Reorder the terms:
-16 + 12n = (7 + 2n) + 6

Remove parenthesis around (7 + 2n)
-16 + 12n = 7 + 2n + 6

Reorder the terms:
-16 + 12n = 7 + 6 + 2n

Combine like terms: 7 + 6 = 13
-16 + 12n = 13 + 2n

Solving
-16 + 12n = 13 + 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.
-16 + 12n + -2n = 13 + 2n + -2n

Combine like terms: 12n + -2n = 10n
-16 + 10n = 13 + 2n + -2n

Combine like terms: 2n + -2n = 0
-16 + 10n = 13 + 0
-16 + 10n = 13

Add '16' to each side of the equation.
-16 + 16 + 10n = 13 + 16

Combine like terms: -16 + 16 = 0
0 + 10n = 13 + 16
10n = 13 + 16

Combine like terms: 13 + 16 = 29
10n = 29

Divide each side by '10'.
n = 2.9

Simplifying
n = 2.9

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