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Simplifying 20f + (8f + -15) = 3(12f + -15) Reorder the terms: 20f + (-15 + 8f) = 3(12f + -15) Remove parenthesis around (-15 + 8f) 20f + -15 + 8f = 3(12f + -15) Reorder the terms: -15 + 20f + 8f = 3(12f + -15) Combine like terms: 20f + 8f = 28f -15 + 28f = 3(12f + -15) Reorder the terms: -15 + 28f = 3(-15 + 12f) -15 + 28f = (-15 * 3 + 12f * 3) -15 + 28f = (-45 + 36f) Solving -15 + 28f = -45 + 36f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-36f' to each side of the equation. -15 + 28f + -36f = -45 + 36f + -36f Combine like terms: 28f + -36f = -8f -15 + -8f = -45 + 36f + -36f Combine like terms: 36f + -36f = 0 -15 + -8f = -45 + 0 -15 + -8f = -45 Add '15' to each side of the equation. -15 + 15 + -8f = -45 + 15 Combine like terms: -15 + 15 = 0 0 + -8f = -45 + 15 -8f = -45 + 15 Combine like terms: -45 + 15 = -30 -8f = -30 Divide each side by '-8'. f = 3.75 Simplifying f = 3.75
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