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Simplifying 9(2f + 3) + -4 = 7 + -6(5 + 3f) Reorder the terms: 9(3 + 2f) + -4 = 7 + -6(5 + 3f) (3 * 9 + 2f * 9) + -4 = 7 + -6(5 + 3f) (27 + 18f) + -4 = 7 + -6(5 + 3f) Reorder the terms: 27 + -4 + 18f = 7 + -6(5 + 3f) Combine like terms: 27 + -4 = 23 23 + 18f = 7 + -6(5 + 3f) 23 + 18f = 7 + (5 * -6 + 3f * -6) 23 + 18f = 7 + (-30 + -18f) Combine like terms: 7 + -30 = -23 23 + 18f = -23 + -18f Solving 23 + 18f = -23 + -18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '18f' to each side of the equation. 23 + 18f + 18f = -23 + -18f + 18f Combine like terms: 18f + 18f = 36f 23 + 36f = -23 + -18f + 18f Combine like terms: -18f + 18f = 0 23 + 36f = -23 + 0 23 + 36f = -23 Add '-23' to each side of the equation. 23 + -23 + 36f = -23 + -23 Combine like terms: 23 + -23 = 0 0 + 36f = -23 + -23 36f = -23 + -23 Combine like terms: -23 + -23 = -46 36f = -46 Divide each side by '36'. f = -1.277777778 Simplifying f = -1.277777778
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