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Simplifying -3(1 + 2b) + 7 = -23 + 3b (1 * -3 + 2b * -3) + 7 = -23 + 3b (-3 + -6b) + 7 = -23 + 3b Reorder the terms: -3 + 7 + -6b = -23 + 3b Combine like terms: -3 + 7 = 4 4 + -6b = -23 + 3b Solving 4 + -6b = -23 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 4 + -6b + -3b = -23 + 3b + -3b Combine like terms: -6b + -3b = -9b 4 + -9b = -23 + 3b + -3b Combine like terms: 3b + -3b = 0 4 + -9b = -23 + 0 4 + -9b = -23 Add '-4' to each side of the equation. 4 + -4 + -9b = -23 + -4 Combine like terms: 4 + -4 = 0 0 + -9b = -23 + -4 -9b = -23 + -4 Combine like terms: -23 + -4 = -27 -9b = -27 Divide each side by '-9'. b = 3 Simplifying b = 3
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