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Simplifying 0 = 2(b + -2) + -3(3b + 1) Reorder the terms: 0 = 2(-2 + b) + -3(3b + 1) 0 = (-2 * 2 + b * 2) + -3(3b + 1) 0 = (-4 + 2b) + -3(3b + 1) Reorder the terms: 0 = -4 + 2b + -3(1 + 3b) 0 = -4 + 2b + (1 * -3 + 3b * -3) 0 = -4 + 2b + (-3 + -9b) Reorder the terms: 0 = -4 + -3 + 2b + -9b Combine like terms: -4 + -3 = -7 0 = -7 + 2b + -9b Combine like terms: 2b + -9b = -7b 0 = -7 + -7b Solving 0 = -7 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 0 + 7b = -7 + -7b + 7b Remove the zero: 7b = -7 + -7b + 7b Combine like terms: -7b + 7b = 0 7b = -7 + 0 7b = -7 Divide each side by '7'. b = -1 Simplifying b = -1
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