-30=3(4n+9)

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Solution for -30=3(4n+9) equation:


Simplifying
-30 = 3(4n + 9)

Reorder the terms:
-30 = 3(9 + 4n)
-30 = (9 * 3 + 4n * 3)
-30 = (27 + 12n)

Solving
-30 = 27 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-30 + -12n = 27 + 12n + -12n

Combine like terms: 12n + -12n = 0
-30 + -12n = 27 + 0
-30 + -12n = 27

Add '30' to each side of the equation.
-30 + 30 + -12n = 27 + 30

Combine like terms: -30 + 30 = 0
0 + -12n = 27 + 30
-12n = 27 + 30

Combine like terms: 27 + 30 = 57
-12n = 57

Divide each side by '-12'.
n = -4.75

Simplifying
n = -4.75

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