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

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


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

Reorder the terms:
5(-8 + n) + -1(3 + -3n) = 7n
(-8 * 5 + n * 5) + -1(3 + -3n) = 7n
(-40 + 5n) + -1(3 + -3n) = 7n
-40 + 5n + (3 * -1 + -3n * -1) = 7n
-40 + 5n + (-3 + 3n) = 7n

Reorder the terms:
-40 + -3 + 5n + 3n = 7n

Combine like terms: -40 + -3 = -43
-43 + 5n + 3n = 7n

Combine like terms: 5n + 3n = 8n
-43 + 8n = 7n

Solving
-43 + 8n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-43 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
-43 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
-43 + 1n = 0

Add '43' to each side of the equation.
-43 + 43 + 1n = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 1n = 0 + 43
1n = 0 + 43

Combine like terms: 0 + 43 = 43
1n = 43

Divide each side by '1'.
n = 43

Simplifying
n = 43

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