6(2n-3)=13n+18

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Solution for 6(2n-3)=13n+18 equation:


Simplifying
6(2n + -3) = 13n + 18

Reorder the terms:
6(-3 + 2n) = 13n + 18
(-3 * 6 + 2n * 6) = 13n + 18
(-18 + 12n) = 13n + 18

Reorder the terms:
-18 + 12n = 18 + 13n

Solving
-18 + 12n = 18 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
-18 + 12n + -13n = 18 + 13n + -13n

Combine like terms: 12n + -13n = -1n
-18 + -1n = 18 + 13n + -13n

Combine like terms: 13n + -13n = 0
-18 + -1n = 18 + 0
-18 + -1n = 18

Add '18' to each side of the equation.
-18 + 18 + -1n = 18 + 18

Combine like terms: -18 + 18 = 0
0 + -1n = 18 + 18
-1n = 18 + 18

Combine like terms: 18 + 18 = 36
-1n = 36

Divide each side by '-1'.
n = -36

Simplifying
n = -36

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