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Simplifying 17 = 3(23 + -1b) + 2(b + -2) 17 = (23 * 3 + -1b * 3) + 2(b + -2) 17 = (69 + -3b) + 2(b + -2) Reorder the terms: 17 = 69 + -3b + 2(-2 + b) 17 = 69 + -3b + (-2 * 2 + b * 2) 17 = 69 + -3b + (-4 + 2b) Reorder the terms: 17 = 69 + -4 + -3b + 2b Combine like terms: 69 + -4 = 65 17 = 65 + -3b + 2b Combine like terms: -3b + 2b = -1b 17 = 65 + -1b Solving 17 = 65 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 17 + b = 65 + -1b + b Combine like terms: -1b + b = 0 17 + b = 65 + 0 17 + b = 65 Add '-17' to each side of the equation. 17 + -17 + b = 65 + -17 Combine like terms: 17 + -17 = 0 0 + b = 65 + -17 b = 65 + -17 Combine like terms: 65 + -17 = 48 b = 48 Simplifying b = 48
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