7(n-6)-(4-2n)=8n

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Solution for 7(n-6)-(4-2n)=8n equation:


Simplifying
7(n + -6) + -1(4 + -2n) = 8n

Reorder the terms:
7(-6 + n) + -1(4 + -2n) = 8n
(-6 * 7 + n * 7) + -1(4 + -2n) = 8n
(-42 + 7n) + -1(4 + -2n) = 8n
-42 + 7n + (4 * -1 + -2n * -1) = 8n
-42 + 7n + (-4 + 2n) = 8n

Reorder the terms:
-42 + -4 + 7n + 2n = 8n

Combine like terms: -42 + -4 = -46
-46 + 7n + 2n = 8n

Combine like terms: 7n + 2n = 9n
-46 + 9n = 8n

Solving
-46 + 9n = 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-46 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-46 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-46 + 1n = 0

Add '46' to each side of the equation.
-46 + 46 + 1n = 0 + 46

Combine like terms: -46 + 46 = 0
0 + 1n = 0 + 46
1n = 0 + 46

Combine like terms: 0 + 46 = 46
1n = 46

Divide each side by '1'.
n = 46

Simplifying
n = 46

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