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

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


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

Reorder the terms:
4(-3 + 2n) = (3n + 7) + 6
(-3 * 4 + 2n * 4) = (3n + 7) + 6
(-12 + 8n) = (3n + 7) + 6

Reorder the terms:
-12 + 8n = (7 + 3n) + 6

Remove parenthesis around (7 + 3n)
-12 + 8n = 7 + 3n + 6

Reorder the terms:
-12 + 8n = 7 + 6 + 3n

Combine like terms: 7 + 6 = 13
-12 + 8n = 13 + 3n

Solving
-12 + 8n = 13 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-12 + 8n + -3n = 13 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-12 + 5n = 13 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 5n = 13 + 0
-12 + 5n = 13

Add '12' to each side of the equation.
-12 + 12 + 5n = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 5n = 13 + 12
5n = 13 + 12

Combine like terms: 13 + 12 = 25
5n = 25

Divide each side by '5'.
n = 5

Simplifying
n = 5

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