-36+6n=3(1+8n)-5n

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Solution for -36+6n=3(1+8n)-5n equation:


Simplifying
-36 + 6n = 3(1 + 8n) + -5n
-36 + 6n = (1 * 3 + 8n * 3) + -5n
-36 + 6n = (3 + 24n) + -5n

Combine like terms: 24n + -5n = 19n
-36 + 6n = 3 + 19n

Solving
-36 + 6n = 3 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
-36 + 6n + -19n = 3 + 19n + -19n

Combine like terms: 6n + -19n = -13n
-36 + -13n = 3 + 19n + -19n

Combine like terms: 19n + -19n = 0
-36 + -13n = 3 + 0
-36 + -13n = 3

Add '36' to each side of the equation.
-36 + 36 + -13n = 3 + 36

Combine like terms: -36 + 36 = 0
0 + -13n = 3 + 36
-13n = 3 + 36

Combine like terms: 3 + 36 = 39
-13n = 39

Divide each side by '-13'.
n = -3

Simplifying
n = -3

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