7(3.5n+7.5)=-24.5-8.5n

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Solution for 7(3.5n+7.5)=-24.5-8.5n equation: 


Simplifying
7(3.5n + 7.5) = -24.5 + -8.5n

Reorder the terms:
7(7.5 + 3.5n) = -24.5 + -8.5n
(7.5 * 7 + 3.5n * 7) = -24.5 + -8.5n
(52.5 + 24.5n) = -24.5 + -8.5n

Solving
52.5 + 24.5n = -24.5 + -8.5n

Solving for variable 'n'.

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

Add '8.5n' to each side of the equation.
52.5 + 24.5n + 8.5n = -24.5 + -8.5n + 8.5n

Combine like terms: 24.5n + 8.5n = 33n
52.5 + 33n = -24.5 + -8.5n + 8.5n

Combine like terms: -8.5n + 8.5n = 0.0
52.5 + 33n = -24.5 + 0.0
52.5 + 33n = -24.5

Add '-52.5' to each side of the equation.
52.5 + -52.5 + 33n = -24.5 + -52.5

Combine like terms: 52.5 + -52.5 = 0.0
0.0 + 33n = -24.5 + -52.5
33n = -24.5 + -52.5

Combine like terms: -24.5 + -52.5 = -77
33n = -77

Divide each side by '33'.
n = -2.333333333

Simplifying
n = -2.333333333

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