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Simplifying 4(3b + 10) = -40 + 4b Reorder the terms: 4(10 + 3b) = -40 + 4b (10 * 4 + 3b * 4) = -40 + 4b (40 + 12b) = -40 + 4b Solving 40 + 12b = -40 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 40 + 12b + -4b = -40 + 4b + -4b Combine like terms: 12b + -4b = 8b 40 + 8b = -40 + 4b + -4b Combine like terms: 4b + -4b = 0 40 + 8b = -40 + 0 40 + 8b = -40 Add '-40' to each side of the equation. 40 + -40 + 8b = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 8b = -40 + -40 8b = -40 + -40 Combine like terms: -40 + -40 = -80 8b = -80 Divide each side by '8'. b = -10 Simplifying b = -10
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