-3(3n-6)=10-7n

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Solution for -3(3n-6)=10-7n equation:


Simplifying
-3(3n + -6) = 10 + -7n

Reorder the terms:
-3(-6 + 3n) = 10 + -7n
(-6 * -3 + 3n * -3) = 10 + -7n
(18 + -9n) = 10 + -7n

Solving
18 + -9n = 10 + -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.
18 + -9n + 7n = 10 + -7n + 7n

Combine like terms: -9n + 7n = -2n
18 + -2n = 10 + -7n + 7n

Combine like terms: -7n + 7n = 0
18 + -2n = 10 + 0
18 + -2n = 10

Add '-18' to each side of the equation.
18 + -18 + -2n = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -2n = 10 + -18
-2n = 10 + -18

Combine like terms: 10 + -18 = -8
-2n = -8

Divide each side by '-2'.
n = 4

Simplifying
n = 4

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