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Simplifying 5(f + -5) = 2(f + 4) Reorder the terms: 5(-5 + f) = 2(f + 4) (-5 * 5 + f * 5) = 2(f + 4) (-25 + 5f) = 2(f + 4) Reorder the terms: -25 + 5f = 2(4 + f) -25 + 5f = (4 * 2 + f * 2) -25 + 5f = (8 + 2f) Solving -25 + 5f = 8 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -25 + 5f + -2f = 8 + 2f + -2f Combine like terms: 5f + -2f = 3f -25 + 3f = 8 + 2f + -2f Combine like terms: 2f + -2f = 0 -25 + 3f = 8 + 0 -25 + 3f = 8 Add '25' to each side of the equation. -25 + 25 + 3f = 8 + 25 Combine like terms: -25 + 25 = 0 0 + 3f = 8 + 25 3f = 8 + 25 Combine like terms: 8 + 25 = 33 3f = 33 Divide each side by '3'. f = 11 Simplifying f = 11
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