3(2n+3)=9n-3+n-3

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Solution for 3(2n+3)=9n-3+n-3 equation:


Simplifying
3(2n + 3) = 9n + -3 + n + -3

Reorder the terms:
3(3 + 2n) = 9n + -3 + n + -3
(3 * 3 + 2n * 3) = 9n + -3 + n + -3
(9 + 6n) = 9n + -3 + n + -3

Reorder the terms:
9 + 6n = -3 + -3 + 9n + n

Combine like terms: -3 + -3 = -6
9 + 6n = -6 + 9n + n

Combine like terms: 9n + n = 10n
9 + 6n = -6 + 10n

Solving
9 + 6n = -6 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
9 + 6n + -10n = -6 + 10n + -10n

Combine like terms: 6n + -10n = -4n
9 + -4n = -6 + 10n + -10n

Combine like terms: 10n + -10n = 0
9 + -4n = -6 + 0
9 + -4n = -6

Add '-9' to each side of the equation.
9 + -9 + -4n = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -4n = -6 + -9
-4n = -6 + -9

Combine like terms: -6 + -9 = -15
-4n = -15

Divide each side by '-4'.
n = 3.75

Simplifying
n = 3.75

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