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Simplifying 9(8 + -1f) = 5(12 + -1f) (8 * 9 + -1f * 9) = 5(12 + -1f) (72 + -9f) = 5(12 + -1f) 72 + -9f = (12 * 5 + -1f * 5) 72 + -9f = (60 + -5f) Solving 72 + -9f = 60 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. 72 + -9f + 5f = 60 + -5f + 5f Combine like terms: -9f + 5f = -4f 72 + -4f = 60 + -5f + 5f Combine like terms: -5f + 5f = 0 72 + -4f = 60 + 0 72 + -4f = 60 Add '-72' to each side of the equation. 72 + -72 + -4f = 60 + -72 Combine like terms: 72 + -72 = 0 0 + -4f = 60 + -72 -4f = 60 + -72 Combine like terms: 60 + -72 = -12 -4f = -12 Divide each side by '-4'. f = 3 Simplifying f = 3
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