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Simplifying 4(f + 5) + -3 = 2f + -3 Reorder the terms: 4(5 + f) + -3 = 2f + -3 (5 * 4 + f * 4) + -3 = 2f + -3 (20 + 4f) + -3 = 2f + -3 Reorder the terms: 20 + -3 + 4f = 2f + -3 Combine like terms: 20 + -3 = 17 17 + 4f = 2f + -3 Reorder the terms: 17 + 4f = -3 + 2f Solving 17 + 4f = -3 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 17 + 4f + -2f = -3 + 2f + -2f Combine like terms: 4f + -2f = 2f 17 + 2f = -3 + 2f + -2f Combine like terms: 2f + -2f = 0 17 + 2f = -3 + 0 17 + 2f = -3 Add '-17' to each side of the equation. 17 + -17 + 2f = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 2f = -3 + -17 2f = -3 + -17 Combine like terms: -3 + -17 = -20 2f = -20 Divide each side by '2'. f = -10 Simplifying f = -10
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