9(5+n)=3-4(12-6n)

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Solution for 9(5+n)=3-4(12-6n) equation: 


Simplifying
9(5 + n) = 3 + -4(12 + -6n)
(5 * 9 + n * 9) = 3 + -4(12 + -6n)
(45 + 9n) = 3 + -4(12 + -6n)
45 + 9n = 3 + (12 * -4 + -6n * -4)
45 + 9n = 3 + (-48 + 24n)

Combine like terms: 3 + -48 = -45
45 + 9n = -45 + 24n

Solving
45 + 9n = -45 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
45 + 9n + -24n = -45 + 24n + -24n

Combine like terms: 9n + -24n = -15n
45 + -15n = -45 + 24n + -24n

Combine like terms: 24n + -24n = 0
45 + -15n = -45 + 0
45 + -15n = -45

Add '-45' to each side of the equation.
45 + -45 + -15n = -45 + -45

Combine like terms: 45 + -45 = 0
0 + -15n = -45 + -45
-15n = -45 + -45

Combine like terms: -45 + -45 = -90
-15n = -90

Divide each side by '-15'.
n = 6

Simplifying
n = 6

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