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

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Solution for 4(n-7)-(2-5n)=8n equation:


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

Reorder the terms:
4(-7 + n) + -1(2 + -5n) = 8n
(-7 * 4 + n * 4) + -1(2 + -5n) = 8n
(-28 + 4n) + -1(2 + -5n) = 8n
-28 + 4n + (2 * -1 + -5n * -1) = 8n
-28 + 4n + (-2 + 5n) = 8n

Reorder the terms:
-28 + -2 + 4n + 5n = 8n

Combine like terms: -28 + -2 = -30
-30 + 4n + 5n = 8n

Combine like terms: 4n + 5n = 9n
-30 + 9n = 8n

Solving
-30 + 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.
-30 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-30 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-30 + 1n = 0

Add '30' to each side of the equation.
-30 + 30 + 1n = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 1n = 0 + 30
1n = 0 + 30

Combine like terms: 0 + 30 = 30
1n = 30

Divide each side by '1'.
n = 30

Simplifying
n = 30

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