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

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


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

Reorder the terms:
8(3 + 3n) = 7(5n + 5) + 4
(3 * 8 + 3n * 8) = 7(5n + 5) + 4
(24 + 24n) = 7(5n + 5) + 4

Reorder the terms:
24 + 24n = 7(5 + 5n) + 4
24 + 24n = (5 * 7 + 5n * 7) + 4
24 + 24n = (35 + 35n) + 4

Reorder the terms:
24 + 24n = 35 + 4 + 35n

Combine like terms: 35 + 4 = 39
24 + 24n = 39 + 35n

Solving
24 + 24n = 39 + 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.
24 + 24n + -35n = 39 + 35n + -35n

Combine like terms: 24n + -35n = -11n
24 + -11n = 39 + 35n + -35n

Combine like terms: 35n + -35n = 0
24 + -11n = 39 + 0
24 + -11n = 39

Add '-24' to each side of the equation.
24 + -24 + -11n = 39 + -24

Combine like terms: 24 + -24 = 0
0 + -11n = 39 + -24
-11n = 39 + -24

Combine like terms: 39 + -24 = 15
-11n = 15

Divide each side by '-11'.
n = -1.363636364

Simplifying
n = -1.363636364

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