5(3n+3)=7(5n+4)+8

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Solution for 5(3n+3)=7(5n+4)+8 equation:


Simplifying
5(3n + 3) = 7(5n + 4) + 8

Reorder the terms:
5(3 + 3n) = 7(5n + 4) + 8
(3 * 5 + 3n * 5) = 7(5n + 4) + 8
(15 + 15n) = 7(5n + 4) + 8

Reorder the terms:
15 + 15n = 7(4 + 5n) + 8
15 + 15n = (4 * 7 + 5n * 7) + 8
15 + 15n = (28 + 35n) + 8

Reorder the terms:
15 + 15n = 28 + 8 + 35n

Combine like terms: 28 + 8 = 36
15 + 15n = 36 + 35n

Solving
15 + 15n = 36 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
15 + 15n + -35n = 36 + 35n + -35n

Combine like terms: 15n + -35n = -20n
15 + -20n = 36 + 35n + -35n

Combine like terms: 35n + -35n = 0
15 + -20n = 36 + 0
15 + -20n = 36

Add '-15' to each side of the equation.
15 + -15 + -20n = 36 + -15

Combine like terms: 15 + -15 = 0
0 + -20n = 36 + -15
-20n = 36 + -15

Combine like terms: 36 + -15 = 21
-20n = 21

Divide each side by '-20'.
n = -1.05

Simplifying
n = -1.05

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