-3n-38=5(6-7n)-2n

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Solution for -3n-38=5(6-7n)-2n equation:


Simplifying
-3n + -38 = 5(6 + -7n) + -2n

Reorder the terms:
-38 + -3n = 5(6 + -7n) + -2n
-38 + -3n = (6 * 5 + -7n * 5) + -2n
-38 + -3n = (30 + -35n) + -2n

Combine like terms: -35n + -2n = -37n
-38 + -3n = 30 + -37n

Solving
-38 + -3n = 30 + -37n

Solving for variable 'n'.

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

Add '37n' to each side of the equation.
-38 + -3n + 37n = 30 + -37n + 37n

Combine like terms: -3n + 37n = 34n
-38 + 34n = 30 + -37n + 37n

Combine like terms: -37n + 37n = 0
-38 + 34n = 30 + 0
-38 + 34n = 30

Add '38' to each side of the equation.
-38 + 38 + 34n = 30 + 38

Combine like terms: -38 + 38 = 0
0 + 34n = 30 + 38
34n = 30 + 38

Combine like terms: 30 + 38 = 68
34n = 68

Divide each side by '34'.
n = 2

Simplifying
n = 2

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