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Simplifying 4(f + -2) + 5(f + -5) = 0 Reorder the terms: 4(-2 + f) + 5(f + -5) = 0 (-2 * 4 + f * 4) + 5(f + -5) = 0 (-8 + 4f) + 5(f + -5) = 0 Reorder the terms: -8 + 4f + 5(-5 + f) = 0 -8 + 4f + (-5 * 5 + f * 5) = 0 -8 + 4f + (-25 + 5f) = 0 Reorder the terms: -8 + -25 + 4f + 5f = 0 Combine like terms: -8 + -25 = -33 -33 + 4f + 5f = 0 Combine like terms: 4f + 5f = 9f -33 + 9f = 0 Solving -33 + 9f = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 9f = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 9f = 0 + 33 9f = 0 + 33 Combine like terms: 0 + 33 = 33 9f = 33 Divide each side by '9'. f = 3.666666667 Simplifying f = 3.666666667
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