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Simplifying -5(5 + -8b) + 2 = -23 + -3b (5 * -5 + -8b * -5) + 2 = -23 + -3b (-25 + 40b) + 2 = -23 + -3b Reorder the terms: -25 + 2 + 40b = -23 + -3b Combine like terms: -25 + 2 = -23 -23 + 40b = -23 + -3b Add '23' to each side of the equation. -23 + 23 + 40b = -23 + 23 + -3b Combine like terms: -23 + 23 = 0 0 + 40b = -23 + 23 + -3b 40b = -23 + 23 + -3b Combine like terms: -23 + 23 = 0 40b = 0 + -3b 40b = -3b Solving 40b = -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. 40b + 3b = -3b + 3b Combine like terms: 40b + 3b = 43b 43b = -3b + 3b Combine like terms: -3b + 3b = 0 43b = 0 Divide each side by '43'. b = 0 Simplifying b = 0
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