2(3.5n+6)=2.5n-22

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Solution for 2(3.5n+6)=2.5n-22 equation: 


Simplifying
2(3.5n + 6) = 2.5n + -22

Reorder the terms:
2(6 + 3.5n) = 2.5n + -22
(6 * 2 + 3.5n * 2) = 2.5n + -22
(12 + 7n) = 2.5n + -22

Reorder the terms:
12 + 7n = -22 + 2.5n

Solving
12 + 7n = -22 + 2.5n

Solving for variable 'n'.

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

Add '-2.5n' to each side of the equation.
12 + 7n + -2.5n = -22 + 2.5n + -2.5n

Combine like terms: 7n + -2.5n = 4.5n
12 + 4.5n = -22 + 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
12 + 4.5n = -22 + 0.0
12 + 4.5n = -22

Add '-12' to each side of the equation.
12 + -12 + 4.5n = -22 + -12

Combine like terms: 12 + -12 = 0
0 + 4.5n = -22 + -12
4.5n = -22 + -12

Combine like terms: -22 + -12 = -34
4.5n = -34

Divide each side by '4.5'.
n = -7.555555556

Simplifying
n = -7.555555556

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