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Simplifying 12(f + -10) = 4(f + -5) Reorder the terms: 12(-10 + f) = 4(f + -5) (-10 * 12 + f * 12) = 4(f + -5) (-120 + 12f) = 4(f + -5) Reorder the terms: -120 + 12f = 4(-5 + f) -120 + 12f = (-5 * 4 + f * 4) -120 + 12f = (-20 + 4f) Solving -120 + 12f = -20 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. -120 + 12f + -4f = -20 + 4f + -4f Combine like terms: 12f + -4f = 8f -120 + 8f = -20 + 4f + -4f Combine like terms: 4f + -4f = 0 -120 + 8f = -20 + 0 -120 + 8f = -20 Add '120' to each side of the equation. -120 + 120 + 8f = -20 + 120 Combine like terms: -120 + 120 = 0 0 + 8f = -20 + 120 8f = -20 + 120 Combine like terms: -20 + 120 = 100 8f = 100 Divide each side by '8'. f = 12.5 Simplifying f = 12.5
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