(3f-7)+(5f+17)+(10f-4)=180

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Solution for (3f-7)+(5f+17)+(10f-4)=180 equation:


Simplifying
(3f + -7) + (5f + 17) + (10f + -4) = 180

Reorder the terms:
(-7 + 3f) + (5f + 17) + (10f + -4) = 180

Remove parenthesis around (-7 + 3f)
-7 + 3f + (5f + 17) + (10f + -4) = 180

Reorder the terms:
-7 + 3f + (17 + 5f) + (10f + -4) = 180

Remove parenthesis around (17 + 5f)
-7 + 3f + 17 + 5f + (10f + -4) = 180

Reorder the terms:
-7 + 3f + 17 + 5f + (-4 + 10f) = 180

Remove parenthesis around (-4 + 10f)
-7 + 3f + 17 + 5f + -4 + 10f = 180

Reorder the terms:
-7 + 17 + -4 + 3f + 5f + 10f = 180

Combine like terms: -7 + 17 = 10
10 + -4 + 3f + 5f + 10f = 180

Combine like terms: 10 + -4 = 6
6 + 3f + 5f + 10f = 180

Combine like terms: 3f + 5f = 8f
6 + 8f + 10f = 180

Combine like terms: 8f + 10f = 18f
6 + 18f = 180

Solving
6 + 18f = 180

Solving for variable 'f'.

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

Add '-6' to each side of the equation.
6 + -6 + 18f = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 18f = 180 + -6
18f = 180 + -6

Combine like terms: 180 + -6 = 174
18f = 174

Divide each side by '18'.
f = 9.666666667

Simplifying
f = 9.666666667

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