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Simplifying 5(f + -4) = 4(f + 6) Reorder the terms: 5(-4 + f) = 4(f + 6) (-4 * 5 + f * 5) = 4(f + 6) (-20 + 5f) = 4(f + 6) Reorder the terms: -20 + 5f = 4(6 + f) -20 + 5f = (6 * 4 + f * 4) -20 + 5f = (24 + 4f) Solving -20 + 5f = 24 + 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. -20 + 5f + -4f = 24 + 4f + -4f Combine like terms: 5f + -4f = 1f -20 + 1f = 24 + 4f + -4f Combine like terms: 4f + -4f = 0 -20 + 1f = 24 + 0 -20 + 1f = 24 Add '20' to each side of the equation. -20 + 20 + 1f = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 1f = 24 + 20 1f = 24 + 20 Combine like terms: 24 + 20 = 44 1f = 44 Divide each side by '1'. f = 44 Simplifying f = 44
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