3(2n+4)+5(3n+3)=

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Solution for 3(2n+4)+5(3n+3)= equation:


Simplifying
3(2n + 4) + 5(3n + 3) = 0

Reorder the terms:
3(4 + 2n) + 5(3n + 3) = 0
(4 * 3 + 2n * 3) + 5(3n + 3) = 0
(12 + 6n) + 5(3n + 3) = 0

Reorder the terms:
12 + 6n + 5(3 + 3n) = 0
12 + 6n + (3 * 5 + 3n * 5) = 0
12 + 6n + (15 + 15n) = 0

Reorder the terms:
12 + 15 + 6n + 15n = 0

Combine like terms: 12 + 15 = 27
27 + 6n + 15n = 0

Combine like terms: 6n + 15n = 21n
27 + 21n = 0

Solving
27 + 21n = 0

Solving for variable 'n'.

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

Add '-27' to each side of the equation.
27 + -27 + 21n = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 21n = 0 + -27
21n = 0 + -27

Combine like terms: 0 + -27 = -27
21n = -27

Divide each side by '21'.
n = -1.285714286

Simplifying
n = -1.285714286

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