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Simplifying -17b + 23 = -4(1 + 2b) Reorder the terms: 23 + -17b = -4(1 + 2b) 23 + -17b = (1 * -4 + 2b * -4) 23 + -17b = (-4 + -8b) Solving 23 + -17b = -4 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 23 + -17b + 8b = -4 + -8b + 8b Combine like terms: -17b + 8b = -9b 23 + -9b = -4 + -8b + 8b Combine like terms: -8b + 8b = 0 23 + -9b = -4 + 0 23 + -9b = -4 Add '-23' to each side of the equation. 23 + -23 + -9b = -4 + -23 Combine like terms: 23 + -23 = 0 0 + -9b = -4 + -23 -9b = -4 + -23 Combine like terms: -4 + -23 = -27 -9b = -27 Divide each side by '-9'. b = 3 Simplifying b = 3
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