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

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


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

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

Reorder the terms:
24 + 24n = 8(7 + 5n) + 5
24 + 24n = (7 * 8 + 5n * 8) + 5
24 + 24n = (56 + 40n) + 5

Reorder the terms:
24 + 24n = 56 + 5 + 40n

Combine like terms: 56 + 5 = 61
24 + 24n = 61 + 40n

Solving
24 + 24n = 61 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
24 + 24n + -40n = 61 + 40n + -40n

Combine like terms: 24n + -40n = -16n
24 + -16n = 61 + 40n + -40n

Combine like terms: 40n + -40n = 0
24 + -16n = 61 + 0
24 + -16n = 61

Add '-24' to each side of the equation.
24 + -24 + -16n = 61 + -24

Combine like terms: 24 + -24 = 0
0 + -16n = 61 + -24
-16n = 61 + -24

Combine like terms: 61 + -24 = 37
-16n = 37

Divide each side by '-16'.
n = -2.3125

Simplifying
n = -2.3125

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