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Simplifying 3(2b + -1) + 2b = 6 + 9b Reorder the terms: 3(-1 + 2b) + 2b = 6 + 9b (-1 * 3 + 2b * 3) + 2b = 6 + 9b (-3 + 6b) + 2b = 6 + 9b Combine like terms: 6b + 2b = 8b -3 + 8b = 6 + 9b Solving -3 + 8b = 6 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -3 + 8b + -9b = 6 + 9b + -9b Combine like terms: 8b + -9b = -1b -3 + -1b = 6 + 9b + -9b Combine like terms: 9b + -9b = 0 -3 + -1b = 6 + 0 -3 + -1b = 6 Add '3' to each side of the equation. -3 + 3 + -1b = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = 6 + 3 -1b = 6 + 3 Combine like terms: 6 + 3 = 9 -1b = 9 Divide each side by '-1'. b = -9 Simplifying b = -9
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