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Simplifying 2(b + -3) = 9 + -3b Reorder the terms: 2(-3 + b) = 9 + -3b (-3 * 2 + b * 2) = 9 + -3b (-6 + 2b) = 9 + -3b Solving -6 + 2b = 9 + -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. -6 + 2b + 3b = 9 + -3b + 3b Combine like terms: 2b + 3b = 5b -6 + 5b = 9 + -3b + 3b Combine like terms: -3b + 3b = 0 -6 + 5b = 9 + 0 -6 + 5b = 9 Add '6' to each side of the equation. -6 + 6 + 5b = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5b = 9 + 6 5b = 9 + 6 Combine like terms: 9 + 6 = 15 5b = 15 Divide each side by '5'. b = 3 Simplifying b = 3
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