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Simplifying 15f + -23 = 2(4f + 20) Reorder the terms: -23 + 15f = 2(4f + 20) Reorder the terms: -23 + 15f = 2(20 + 4f) -23 + 15f = (20 * 2 + 4f * 2) -23 + 15f = (40 + 8f) Solving -23 + 15f = 40 + 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. -23 + 15f + -8f = 40 + 8f + -8f Combine like terms: 15f + -8f = 7f -23 + 7f = 40 + 8f + -8f Combine like terms: 8f + -8f = 0 -23 + 7f = 40 + 0 -23 + 7f = 40 Add '23' to each side of the equation. -23 + 23 + 7f = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 7f = 40 + 23 7f = 40 + 23 Combine like terms: 40 + 23 = 63 7f = 63 Divide each side by '7'. f = 9 Simplifying f = 9
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