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Simplifying -24 + -8f = -4(3f + -5) Reorder the terms: -24 + -8f = -4(-5 + 3f) -24 + -8f = (-5 * -4 + 3f * -4) -24 + -8f = (20 + -12f) Solving -24 + -8f = 20 + -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. -24 + -8f + 12f = 20 + -12f + 12f Combine like terms: -8f + 12f = 4f -24 + 4f = 20 + -12f + 12f Combine like terms: -12f + 12f = 0 -24 + 4f = 20 + 0 -24 + 4f = 20 Add '24' to each side of the equation. -24 + 24 + 4f = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 4f = 20 + 24 4f = 20 + 24 Combine like terms: 20 + 24 = 44 4f = 44 Divide each side by '4'. f = 11 Simplifying f = 11
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