2(n-5)-(3-6n)=7n

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Solution for 2(n-5)-(3-6n)=7n equation:


Simplifying
2(n + -5) + -1(3 + -6n) = 7n

Reorder the terms:
2(-5 + n) + -1(3 + -6n) = 7n
(-5 * 2 + n * 2) + -1(3 + -6n) = 7n
(-10 + 2n) + -1(3 + -6n) = 7n
-10 + 2n + (3 * -1 + -6n * -1) = 7n
-10 + 2n + (-3 + 6n) = 7n

Reorder the terms:
-10 + -3 + 2n + 6n = 7n

Combine like terms: -10 + -3 = -13
-13 + 2n + 6n = 7n

Combine like terms: 2n + 6n = 8n
-13 + 8n = 7n

Solving
-13 + 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.
-13 + 8n + -7n = 7n + -7n

Combine like terms: 8n + -7n = 1n
-13 + 1n = 7n + -7n

Combine like terms: 7n + -7n = 0
-13 + 1n = 0

Add '13' to each side of the equation.
-13 + 13 + 1n = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 1n = 0 + 13
1n = 0 + 13

Combine like terms: 0 + 13 = 13
1n = 13

Divide each side by '1'.
n = 13

Simplifying
n = 13

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