3(n-3)=8(4+6n)+4

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Solution for 3(n-3)=8(4+6n)+4 equation:


Simplifying
3(n + -3) = 8(4 + 6n) + 4

Reorder the terms:
3(-3 + n) = 8(4 + 6n) + 4
(-3 * 3 + n * 3) = 8(4 + 6n) + 4
(-9 + 3n) = 8(4 + 6n) + 4
-9 + 3n = (4 * 8 + 6n * 8) + 4
-9 + 3n = (32 + 48n) + 4

Reorder the terms:
-9 + 3n = 32 + 4 + 48n

Combine like terms: 32 + 4 = 36
-9 + 3n = 36 + 48n

Solving
-9 + 3n = 36 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
-9 + 3n + -48n = 36 + 48n + -48n

Combine like terms: 3n + -48n = -45n
-9 + -45n = 36 + 48n + -48n

Combine like terms: 48n + -48n = 0
-9 + -45n = 36 + 0
-9 + -45n = 36

Add '9' to each side of the equation.
-9 + 9 + -45n = 36 + 9

Combine like terms: -9 + 9 = 0
0 + -45n = 36 + 9
-45n = 36 + 9

Combine like terms: 36 + 9 = 45
-45n = 45

Divide each side by '-45'.
n = -1

Simplifying
n = -1

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