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

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


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

Reorder the terms:
6(-5 + 2n) = -3(7 + -3n)
(-5 * 6 + 2n * 6) = -3(7 + -3n)
(-30 + 12n) = -3(7 + -3n)
-30 + 12n = (7 * -3 + -3n * -3)
-30 + 12n = (-21 + 9n)

Solving
-30 + 12n = -21 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-30 + 12n + -9n = -21 + 9n + -9n

Combine like terms: 12n + -9n = 3n
-30 + 3n = -21 + 9n + -9n

Combine like terms: 9n + -9n = 0
-30 + 3n = -21 + 0
-30 + 3n = -21

Add '30' to each side of the equation.
-30 + 30 + 3n = -21 + 30

Combine like terms: -30 + 30 = 0
0 + 3n = -21 + 30
3n = -21 + 30

Combine like terms: -21 + 30 = 9
3n = 9

Divide each side by '3'.
n = 3

Simplifying
n = 3

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