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Simplifying 5(b + -6) = 2(5b + 6) Reorder the terms: 5(-6 + b) = 2(5b + 6) (-6 * 5 + b * 5) = 2(5b + 6) (-30 + 5b) = 2(5b + 6) Reorder the terms: -30 + 5b = 2(6 + 5b) -30 + 5b = (6 * 2 + 5b * 2) -30 + 5b = (12 + 10b) Solving -30 + 5b = 12 + 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. -30 + 5b + -10b = 12 + 10b + -10b Combine like terms: 5b + -10b = -5b -30 + -5b = 12 + 10b + -10b Combine like terms: 10b + -10b = 0 -30 + -5b = 12 + 0 -30 + -5b = 12 Add '30' to each side of the equation. -30 + 30 + -5b = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -5b = 12 + 30 -5b = 12 + 30 Combine like terms: 12 + 30 = 42 -5b = 42 Divide each side by '-5'. b = -8.4 Simplifying b = -8.4
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