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Simplifying 3(9b + -6) + -6 = 6b + -3 Reorder the terms: 3(-6 + 9b) + -6 = 6b + -3 (-6 * 3 + 9b * 3) + -6 = 6b + -3 (-18 + 27b) + -6 = 6b + -3 Reorder the terms: -18 + -6 + 27b = 6b + -3 Combine like terms: -18 + -6 = -24 -24 + 27b = 6b + -3 Reorder the terms: -24 + 27b = -3 + 6b Solving -24 + 27b = -3 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -24 + 27b + -6b = -3 + 6b + -6b Combine like terms: 27b + -6b = 21b -24 + 21b = -3 + 6b + -6b Combine like terms: 6b + -6b = 0 -24 + 21b = -3 + 0 -24 + 21b = -3 Add '24' to each side of the equation. -24 + 24 + 21b = -3 + 24 Combine like terms: -24 + 24 = 0 0 + 21b = -3 + 24 21b = -3 + 24 Combine like terms: -3 + 24 = 21 21b = 21 Divide each side by '21'. b = 1 Simplifying b = 1
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