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Simplifying 5(f + -4) = -8(f + 9) Reorder the terms: 5(-4 + f) = -8(f + 9) (-4 * 5 + f * 5) = -8(f + 9) (-20 + 5f) = -8(f + 9) Reorder the terms: -20 + 5f = -8(9 + f) -20 + 5f = (9 * -8 + f * -8) -20 + 5f = (-72 + -8f) Solving -20 + 5f = -72 + -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 + 5f + 8f = -72 + -8f + 8f Combine like terms: 5f + 8f = 13f -20 + 13f = -72 + -8f + 8f Combine like terms: -8f + 8f = 0 -20 + 13f = -72 + 0 -20 + 13f = -72 Add '20' to each side of the equation. -20 + 20 + 13f = -72 + 20 Combine like terms: -20 + 20 = 0 0 + 13f = -72 + 20 13f = -72 + 20 Combine like terms: -72 + 20 = -52 13f = -52 Divide each side by '13'. f = -4 Simplifying f = -4
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