-90=3(4n+1)+3

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Solution for -90=3(4n+1)+3 equation:


Simplifying
-90 = 3(4n + 1) + 3

Reorder the terms:
-90 = 3(1 + 4n) + 3
-90 = (1 * 3 + 4n * 3) + 3
-90 = (3 + 12n) + 3

Reorder the terms:
-90 = 3 + 3 + 12n

Combine like terms: 3 + 3 = 6
-90 = 6 + 12n

Solving
-90 = 6 + 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.
-90 + -12n = 6 + 12n + -12n

Combine like terms: 12n + -12n = 0
-90 + -12n = 6 + 0
-90 + -12n = 6

Add '90' to each side of the equation.
-90 + 90 + -12n = 6 + 90

Combine like terms: -90 + 90 = 0
0 + -12n = 6 + 90
-12n = 6 + 90

Combine like terms: 6 + 90 = 96
-12n = 96

Divide each side by '-12'.
n = -8

Simplifying
n = -8

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