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Simplifying 3(b + -3) + -2(b + -3) = 2b + -3 Reorder the terms: 3(-3 + b) + -2(b + -3) = 2b + -3 (-3 * 3 + b * 3) + -2(b + -3) = 2b + -3 (-9 + 3b) + -2(b + -3) = 2b + -3 Reorder the terms: -9 + 3b + -2(-3 + b) = 2b + -3 -9 + 3b + (-3 * -2 + b * -2) = 2b + -3 -9 + 3b + (6 + -2b) = 2b + -3 Reorder the terms: -9 + 6 + 3b + -2b = 2b + -3 Combine like terms: -9 + 6 = -3 -3 + 3b + -2b = 2b + -3 Combine like terms: 3b + -2b = 1b -3 + 1b = 2b + -3 Reorder the terms: -3 + 1b = -3 + 2b Add '3' to each side of the equation. -3 + 3 + 1b = -3 + 3 + 2b Combine like terms: -3 + 3 = 0 0 + 1b = -3 + 3 + 2b 1b = -3 + 3 + 2b Combine like terms: -3 + 3 = 0 1b = 0 + 2b 1b = 2b Solving 1b = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 1b + -2b = 2b + -2b Combine like terms: 1b + -2b = -1b -1b = 2b + -2b Combine like terms: 2b + -2b = 0 -1b = 0 Divide each side by '-1'. b = 0 Simplifying b = 0
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