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Simplifying -17 = 3 + 2(f + 5) Reorder the terms: -17 = 3 + 2(5 + f) -17 = 3 + (5 * 2 + f * 2) -17 = 3 + (10 + 2f) Combine like terms: 3 + 10 = 13 -17 = 13 + 2f Solving -17 = 13 + 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 + -2f = 13 + 2f + -2f Combine like terms: 2f + -2f = 0 -17 + -2f = 13 + 0 -17 + -2f = 13 Add '17' to each side of the equation. -17 + 17 + -2f = 13 + 17 Combine like terms: -17 + 17 = 0 0 + -2f = 13 + 17 -2f = 13 + 17 Combine like terms: 13 + 17 = 30 -2f = 30 Divide each side by '-2'. f = -15 Simplifying f = -15
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