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Simplifying 20 + (-8f + -15) = 3(4f + -5) Reorder the terms: 20 + (-15 + -8f) = 3(4f + -5) Remove parenthesis around (-15 + -8f) 20 + -15 + -8f = 3(4f + -5) Combine like terms: 20 + -15 = 5 5 + -8f = 3(4f + -5) Reorder the terms: 5 + -8f = 3(-5 + 4f) 5 + -8f = (-5 * 3 + 4f * 3) 5 + -8f = (-15 + 12f) Solving 5 + -8f = -15 + 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. 5 + -8f + -12f = -15 + 12f + -12f Combine like terms: -8f + -12f = -20f 5 + -20f = -15 + 12f + -12f Combine like terms: 12f + -12f = 0 5 + -20f = -15 + 0 5 + -20f = -15 Add '-5' to each side of the equation. 5 + -5 + -20f = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -20f = -15 + -5 -20f = -15 + -5 Combine like terms: -15 + -5 = -20 -20f = -20 Divide each side by '-20'. f = 1 Simplifying f = 1
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