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Simplifying -2(2f + -4) = 3(-12f + 24) Reorder the terms: -2(-4 + 2f) = 3(-12f + 24) (-4 * -2 + 2f * -2) = 3(-12f + 24) (8 + -4f) = 3(-12f + 24) Reorder the terms: 8 + -4f = 3(24 + -12f) 8 + -4f = (24 * 3 + -12f * 3) 8 + -4f = (72 + -36f) Solving 8 + -4f = 72 + -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. 8 + -4f + 36f = 72 + -36f + 36f Combine like terms: -4f + 36f = 32f 8 + 32f = 72 + -36f + 36f Combine like terms: -36f + 36f = 0 8 + 32f = 72 + 0 8 + 32f = 72 Add '-8' to each side of the equation. 8 + -8 + 32f = 72 + -8 Combine like terms: 8 + -8 = 0 0 + 32f = 72 + -8 32f = 72 + -8 Combine like terms: 72 + -8 = 64 32f = 64 Divide each side by '32'. f = 2 Simplifying f = 2
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