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Simplifying 5(12 + 6b) = -2(-20b + -10) (12 * 5 + 6b * 5) = -2(-20b + -10) (60 + 30b) = -2(-20b + -10) Reorder the terms: 60 + 30b = -2(-10 + -20b) 60 + 30b = (-10 * -2 + -20b * -2) 60 + 30b = (20 + 40b) Solving 60 + 30b = 20 + 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. 60 + 30b + -40b = 20 + 40b + -40b Combine like terms: 30b + -40b = -10b 60 + -10b = 20 + 40b + -40b Combine like terms: 40b + -40b = 0 60 + -10b = 20 + 0 60 + -10b = 20 Add '-60' to each side of the equation. 60 + -60 + -10b = 20 + -60 Combine like terms: 60 + -60 = 0 0 + -10b = 20 + -60 -10b = 20 + -60 Combine like terms: 20 + -60 = -40 -10b = -40 Divide each side by '-10'. b = 4 Simplifying b = 4
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