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Simplifying 2(2 + -3b) + -2 = 11 + 3b (2 * 2 + -3b * 2) + -2 = 11 + 3b (4 + -6b) + -2 = 11 + 3b Reorder the terms: 4 + -2 + -6b = 11 + 3b Combine like terms: 4 + -2 = 2 2 + -6b = 11 + 3b Solving 2 + -6b = 11 + 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. 2 + -6b + -3b = 11 + 3b + -3b Combine like terms: -6b + -3b = -9b 2 + -9b = 11 + 3b + -3b Combine like terms: 3b + -3b = 0 2 + -9b = 11 + 0 2 + -9b = 11 Add '-2' to each side of the equation. 2 + -2 + -9b = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -9b = 11 + -2 -9b = 11 + -2 Combine like terms: 11 + -2 = 9 -9b = 9 Divide each side by '-9'. b = -1 Simplifying b = -1
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