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Simplifying 6(f + -5) = 4(f + 24) Reorder the terms: 6(-5 + f) = 4(f + 24) (-5 * 6 + f * 6) = 4(f + 24) (-30 + 6f) = 4(f + 24) Reorder the terms: -30 + 6f = 4(24 + f) -30 + 6f = (24 * 4 + f * 4) -30 + 6f = (96 + 4f) Solving -30 + 6f = 96 + 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. -30 + 6f + -4f = 96 + 4f + -4f Combine like terms: 6f + -4f = 2f -30 + 2f = 96 + 4f + -4f Combine like terms: 4f + -4f = 0 -30 + 2f = 96 + 0 -30 + 2f = 96 Add '30' to each side of the equation. -30 + 30 + 2f = 96 + 30 Combine like terms: -30 + 30 = 0 0 + 2f = 96 + 30 2f = 96 + 30 Combine like terms: 96 + 30 = 126 2f = 126 Divide each side by '2'. f = 63 Simplifying f = 63
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