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Simplifying -4b + 6(b + 2) = 9 + -1b Reorder the terms: -4b + 6(2 + b) = 9 + -1b -4b + (2 * 6 + b * 6) = 9 + -1b -4b + (12 + 6b) = 9 + -1b Reorder the terms: 12 + -4b + 6b = 9 + -1b Combine like terms: -4b + 6b = 2b 12 + 2b = 9 + -1b Solving 12 + 2b = 9 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 12 + 2b + b = 9 + -1b + b Combine like terms: 2b + b = 3b 12 + 3b = 9 + -1b + b Combine like terms: -1b + b = 0 12 + 3b = 9 + 0 12 + 3b = 9 Add '-12' to each side of the equation. 12 + -12 + 3b = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 3b = 9 + -12 3b = 9 + -12 Combine like terms: 9 + -12 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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