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Simplifying -6b + 5(3b + -6) = -30 + -3b Reorder the terms: -6b + 5(-6 + 3b) = -30 + -3b -6b + (-6 * 5 + 3b * 5) = -30 + -3b -6b + (-30 + 15b) = -30 + -3b Reorder the terms: -30 + -6b + 15b = -30 + -3b Combine like terms: -6b + 15b = 9b -30 + 9b = -30 + -3b Add '30' to each side of the equation. -30 + 30 + 9b = -30 + 30 + -3b Combine like terms: -30 + 30 = 0 0 + 9b = -30 + 30 + -3b 9b = -30 + 30 + -3b Combine like terms: -30 + 30 = 0 9b = 0 + -3b 9b = -3b Solving 9b = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 9b + 3b = -3b + 3b Combine like terms: 9b + 3b = 12b 12b = -3b + 3b Combine like terms: -3b + 3b = 0 12b = 0 Divide each side by '12'. b = 0 Simplifying b = 0
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