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Simplifying 5(3f + 2) + -8 + 3f = 7f + -4 + 3 + -9 + 12 Reorder the terms: 5(2 + 3f) + -8 + 3f = 7f + -4 + 3 + -9 + 12 (2 * 5 + 3f * 5) + -8 + 3f = 7f + -4 + 3 + -9 + 12 (10 + 15f) + -8 + 3f = 7f + -4 + 3 + -9 + 12 Reorder the terms: 10 + -8 + 15f + 3f = 7f + -4 + 3 + -9 + 12 Combine like terms: 10 + -8 = 2 2 + 15f + 3f = 7f + -4 + 3 + -9 + 12 Combine like terms: 15f + 3f = 18f 2 + 18f = 7f + -4 + 3 + -9 + 12 Reorder the terms: 2 + 18f = -4 + 3 + -9 + 12 + 7f Combine like terms: -4 + 3 = -1 2 + 18f = -1 + -9 + 12 + 7f Combine like terms: -1 + -9 = -10 2 + 18f = -10 + 12 + 7f Combine like terms: -10 + 12 = 2 2 + 18f = 2 + 7f Add '-2' to each side of the equation. 2 + -2 + 18f = 2 + -2 + 7f Combine like terms: 2 + -2 = 0 0 + 18f = 2 + -2 + 7f 18f = 2 + -2 + 7f Combine like terms: 2 + -2 = 0 18f = 0 + 7f 18f = 7f Solving 18f = 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. 18f + -7f = 7f + -7f Combine like terms: 18f + -7f = 11f 11f = 7f + -7f Combine like terms: 7f + -7f = 0 11f = 0 Divide each side by '11'. f = 0 Simplifying f = 0
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