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Simplifying 23 + -3b = 5(8b + -4) Reorder the terms: 23 + -3b = 5(-4 + 8b) 23 + -3b = (-4 * 5 + 8b * 5) 23 + -3b = (-20 + 40b) Solving 23 + -3b = -20 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. 23 + -3b + -40b = -20 + 40b + -40b Combine like terms: -3b + -40b = -43b 23 + -43b = -20 + 40b + -40b Combine like terms: 40b + -40b = 0 23 + -43b = -20 + 0 23 + -43b = -20 Add '-23' to each side of the equation. 23 + -23 + -43b = -20 + -23 Combine like terms: 23 + -23 = 0 0 + -43b = -20 + -23 -43b = -20 + -23 Combine like terms: -20 + -23 = -43 -43b = -43 Divide each side by '-43'. b = 1 Simplifying b = 1
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