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Simplifying 5(f + -3) = 2(f + 10) Reorder the terms: 5(-3 + f) = 2(f + 10) (-3 * 5 + f * 5) = 2(f + 10) (-15 + 5f) = 2(f + 10) Reorder the terms: -15 + 5f = 2(10 + f) -15 + 5f = (10 * 2 + f * 2) -15 + 5f = (20 + 2f) Solving -15 + 5f = 20 + 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. -15 + 5f + -2f = 20 + 2f + -2f Combine like terms: 5f + -2f = 3f -15 + 3f = 20 + 2f + -2f Combine like terms: 2f + -2f = 0 -15 + 3f = 20 + 0 -15 + 3f = 20 Add '15' to each side of the equation. -15 + 15 + 3f = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 3f = 20 + 15 3f = 20 + 15 Combine like terms: 20 + 15 = 35 3f = 35 Divide each side by '3'. f = 11.66666667 Simplifying f = 11.66666667
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