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Simplifying 20f + (-8 + -15) = 3(4f + -5) Combine like terms: -8 + -15 = -23 20f + (-23) = 3(4f + -5) 20f + -23 = 3(4f + -5) Reorder the terms: -23 + 20f = 3(4f + -5) Reorder the terms: -23 + 20f = 3(-5 + 4f) -23 + 20f = (-5 * 3 + 4f * 3) -23 + 20f = (-15 + 12f) Solving -23 + 20f = -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. -23 + 20f + -12f = -15 + 12f + -12f Combine like terms: 20f + -12f = 8f -23 + 8f = -15 + 12f + -12f Combine like terms: 12f + -12f = 0 -23 + 8f = -15 + 0 -23 + 8f = -15 Add '23' to each side of the equation. -23 + 23 + 8f = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 8f = -15 + 23 8f = -15 + 23 Combine like terms: -15 + 23 = 8 8f = 8 Divide each side by '8'. f = 1 Simplifying f = 1
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