6(6n-1)=7(5n-2)

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Solution for 6(6n-1)=7(5n-2) equation:


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

Reorder the terms:
6(-1 + 6n) = 7(5n + -2)
(-1 * 6 + 6n * 6) = 7(5n + -2)
(-6 + 36n) = 7(5n + -2)

Reorder the terms:
-6 + 36n = 7(-2 + 5n)
-6 + 36n = (-2 * 7 + 5n * 7)
-6 + 36n = (-14 + 35n)

Solving
-6 + 36n = -14 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
-6 + 36n + -35n = -14 + 35n + -35n

Combine like terms: 36n + -35n = 1n
-6 + 1n = -14 + 35n + -35n

Combine like terms: 35n + -35n = 0
-6 + 1n = -14 + 0
-6 + 1n = -14

Add '6' to each side of the equation.
-6 + 6 + 1n = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = -14 + 6
1n = -14 + 6

Combine like terms: -14 + 6 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8

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