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Simplifying 5(4f + 4) = 2(4f + 4) Reorder the terms: 5(4 + 4f) = 2(4f + 4) (4 * 5 + 4f * 5) = 2(4f + 4) (20 + 20f) = 2(4f + 4) Reorder the terms: 20 + 20f = 2(4 + 4f) 20 + 20f = (4 * 2 + 4f * 2) 20 + 20f = (8 + 8f) Solving 20 + 20f = 8 + 8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. 20 + 20f + -8f = 8 + 8f + -8f Combine like terms: 20f + -8f = 12f 20 + 12f = 8 + 8f + -8f Combine like terms: 8f + -8f = 0 20 + 12f = 8 + 0 20 + 12f = 8 Add '-20' to each side of the equation. 20 + -20 + 12f = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 12f = 8 + -20 12f = 8 + -20 Combine like terms: 8 + -20 = -12 12f = -12 Divide each side by '12'. f = -1 Simplifying f = -1
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