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Simplifying 3(b + 13) = 2(-5b) Reorder the terms: 3(13 + b) = 2(-5b) (13 * 3 + b * 3) = 2(-5b) (39 + 3b) = 2(-5b) Remove parenthesis around (-5b) 39 + 3b = 2 * -5b Multiply 2 * -5 39 + 3b = -10b Solving 39 + 3b = -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 39 + 3b + 10b = -10b + 10b Combine like terms: 3b + 10b = 13b 39 + 13b = -10b + 10b Combine like terms: -10b + 10b = 0 39 + 13b = 0 Add '-39' to each side of the equation. 39 + -39 + 13b = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 13b = 0 + -39 13b = 0 + -39 Combine like terms: 0 + -39 = -39 13b = -39 Divide each side by '13'. b = -3 Simplifying b = -3
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