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Simplifying 15 + 5(3b + -2) = -40 Reorder the terms: 15 + 5(-2 + 3b) = -40 15 + (-2 * 5 + 3b * 5) = -40 15 + (-10 + 15b) = -40 Combine like terms: 15 + -10 = 5 5 + 15b = -40 Solving 5 + 15b = -40 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 15b = -40 + -5 Combine like terms: 5 + -5 = 0 0 + 15b = -40 + -5 15b = -40 + -5 Combine like terms: -40 + -5 = -45 15b = -45 Divide each side by '15'. b = -3 Simplifying b = -3
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