7(n-5)-(3-2n)=8n

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Solution for 7(n-5)-(3-2n)=8n equation:


Simplifying
7(n + -5) + -1(3 + -2n) = 8n

Reorder the terms:
7(-5 + n) + -1(3 + -2n) = 8n
(-5 * 7 + n * 7) + -1(3 + -2n) = 8n
(-35 + 7n) + -1(3 + -2n) = 8n
-35 + 7n + (3 * -1 + -2n * -1) = 8n
-35 + 7n + (-3 + 2n) = 8n

Reorder the terms:
-35 + -3 + 7n + 2n = 8n

Combine like terms: -35 + -3 = -38
-38 + 7n + 2n = 8n

Combine like terms: 7n + 2n = 9n
-38 + 9n = 8n

Solving
-38 + 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.
-38 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-38 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-38 + 1n = 0

Add '38' to each side of the equation.
-38 + 38 + 1n = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 1n = 0 + 38
1n = 0 + 38

Combine like terms: 0 + 38 = 38
1n = 38

Divide each side by '1'.
n = 38

Simplifying
n = 38

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