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Simplifying 3(2 + -4b) + 5 = 2 + -3b (2 * 3 + -4b * 3) + 5 = 2 + -3b (6 + -12b) + 5 = 2 + -3b Reorder the terms: 6 + 5 + -12b = 2 + -3b Combine like terms: 6 + 5 = 11 11 + -12b = 2 + -3b Solving 11 + -12b = 2 + -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. 11 + -12b + 3b = 2 + -3b + 3b Combine like terms: -12b + 3b = -9b 11 + -9b = 2 + -3b + 3b Combine like terms: -3b + 3b = 0 11 + -9b = 2 + 0 11 + -9b = 2 Add '-11' to each side of the equation. 11 + -11 + -9b = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -9b = 2 + -11 -9b = 2 + -11 Combine like terms: 2 + -11 = -9 -9b = -9 Divide each side by '-9'. b = 1 Simplifying b = 1
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