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Simplifying 5(3f + -4) = 2(6f + 5) Reorder the terms: 5(-4 + 3f) = 2(6f + 5) (-4 * 5 + 3f * 5) = 2(6f + 5) (-20 + 15f) = 2(6f + 5) Reorder the terms: -20 + 15f = 2(5 + 6f) -20 + 15f = (5 * 2 + 6f * 2) -20 + 15f = (10 + 12f) Solving -20 + 15f = 10 + 12f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12f' to each side of the equation. -20 + 15f + -12f = 10 + 12f + -12f Combine like terms: 15f + -12f = 3f -20 + 3f = 10 + 12f + -12f Combine like terms: 12f + -12f = 0 -20 + 3f = 10 + 0 -20 + 3f = 10 Add '20' to each side of the equation. -20 + 20 + 3f = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 3f = 10 + 20 3f = 10 + 20 Combine like terms: 10 + 20 = 30 3f = 30 Divide each side by '3'. f = 10 Simplifying f = 10
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