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Simplifying 10(1 + 3b) = -10 + 40b (1 * 10 + 3b * 10) = -10 + 40b (10 + 30b) = -10 + 40b Solving 10 + 30b = -10 + 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. 10 + 30b + -40b = -10 + 40b + -40b Combine like terms: 30b + -40b = -10b 10 + -10b = -10 + 40b + -40b Combine like terms: 40b + -40b = 0 10 + -10b = -10 + 0 10 + -10b = -10 Add '-10' to each side of the equation. 10 + -10 + -10b = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -10b = -10 + -10 -10b = -10 + -10 Combine like terms: -10 + -10 = -20 -10b = -20 Divide each side by '-10'. b = 2 Simplifying b = 2
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