3(n+1)=6(3n+9)+3

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Solution for 3(n+1)=6(3n+9)+3 equation:


Simplifying
3(n + 1) = 6(3n + 9) + 3

Reorder the terms:
3(1 + n) = 6(3n + 9) + 3
(1 * 3 + n * 3) = 6(3n + 9) + 3
(3 + 3n) = 6(3n + 9) + 3

Reorder the terms:
3 + 3n = 6(9 + 3n) + 3
3 + 3n = (9 * 6 + 3n * 6) + 3
3 + 3n = (54 + 18n) + 3

Reorder the terms:
3 + 3n = 54 + 3 + 18n

Combine like terms: 54 + 3 = 57
3 + 3n = 57 + 18n

Solving
3 + 3n = 57 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
3 + 3n + -18n = 57 + 18n + -18n

Combine like terms: 3n + -18n = -15n
3 + -15n = 57 + 18n + -18n

Combine like terms: 18n + -18n = 0
3 + -15n = 57 + 0
3 + -15n = 57

Add '-3' to each side of the equation.
3 + -3 + -15n = 57 + -3

Combine like terms: 3 + -3 = 0
0 + -15n = 57 + -3
-15n = 57 + -3

Combine like terms: 57 + -3 = 54
-15n = 54

Divide each side by '-15'.
n = -3.6

Simplifying
n = -3.6

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