2(n+3)=3n+3

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


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

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

Reorder the terms:
6 + 2n = 3 + 3n

Solving
6 + 2n = 3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 2n + -3n = 3 + 3n + -3n

Combine like terms: 2n + -3n = -1n
6 + -1n = 3 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -1n = 3 + 0
6 + -1n = 3

Add '-6' to each side of the equation.
6 + -6 + -1n = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 3 + -6
-1n = 3 + -6

Combine like terms: 3 + -6 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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