7n+8(n+.25)=3(6n-9)-8

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Solution for 7n+8(n+.25)=3(6n-9)-8 equation: 


Simplifying
7n + 8(n + 0.25) = 3(6n + -9) + -8

Reorder the terms:
7n + 8(0.25 + n) = 3(6n + -9) + -8
7n + (0.25 * 8 + n * 8) = 3(6n + -9) + -8
7n + (2 + 8n) = 3(6n + -9) + -8

Reorder the terms:
2 + 7n + 8n = 3(6n + -9) + -8

Combine like terms: 7n + 8n = 15n
2 + 15n = 3(6n + -9) + -8

Reorder the terms:
2 + 15n = 3(-9 + 6n) + -8
2 + 15n = (-9 * 3 + 6n * 3) + -8
2 + 15n = (-27 + 18n) + -8

Reorder the terms:
2 + 15n = -27 + -8 + 18n

Combine like terms: -27 + -8 = -35
2 + 15n = -35 + 18n

Solving
2 + 15n = -35 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
2 + 15n + -18n = -35 + 18n + -18n

Combine like terms: 15n + -18n = -3n
2 + -3n = -35 + 18n + -18n

Combine like terms: 18n + -18n = 0
2 + -3n = -35 + 0
2 + -3n = -35

Add '-2' to each side of the equation.
2 + -2 + -3n = -35 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -35 + -2
-3n = -35 + -2

Combine like terms: -35 + -2 = -37
-3n = -37

Divide each side by '-3'.
n = 12.33333333

Simplifying
n = 12.33333333

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