17-15f=-10-9(9f+19)

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Solution for 17-15f=-10-9(9f+19) equation:


Simplifying
17 + -15f = -10 + -9(9f + 19)

Reorder the terms:
17 + -15f = -10 + -9(19 + 9f)
17 + -15f = -10 + (19 * -9 + 9f * -9)
17 + -15f = -10 + (-171 + -81f)

Combine like terms: -10 + -171 = -181
17 + -15f = -181 + -81f

Solving
17 + -15f = -181 + -81f

Solving for variable 'f'.

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

Add '81f' to each side of the equation.
17 + -15f + 81f = -181 + -81f + 81f

Combine like terms: -15f + 81f = 66f
17 + 66f = -181 + -81f + 81f

Combine like terms: -81f + 81f = 0
17 + 66f = -181 + 0
17 + 66f = -181

Add '-17' to each side of the equation.
17 + -17 + 66f = -181 + -17

Combine like terms: 17 + -17 = 0
0 + 66f = -181 + -17
66f = -181 + -17

Combine like terms: -181 + -17 = -198
66f = -198

Divide each side by '66'.
f = -3

Simplifying
f = -3

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