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Simplifying 3(b + 2) + 2(b + -3) = -5 Reorder the terms: 3(2 + b) + 2(b + -3) = -5 (2 * 3 + b * 3) + 2(b + -3) = -5 (6 + 3b) + 2(b + -3) = -5 Reorder the terms: 6 + 3b + 2(-3 + b) = -5 6 + 3b + (-3 * 2 + b * 2) = -5 6 + 3b + (-6 + 2b) = -5 Reorder the terms: 6 + -6 + 3b + 2b = -5 Combine like terms: 6 + -6 = 0 0 + 3b + 2b = -5 3b + 2b = -5 Combine like terms: 3b + 2b = 5b 5b = -5 Solving 5b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '5'. b = -1 Simplifying b = -1
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