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Simplifying 9(b + 2) = -6(4 + -1b) + 18 Reorder the terms: 9(2 + b) = -6(4 + -1b) + 18 (2 * 9 + b * 9) = -6(4 + -1b) + 18 (18 + 9b) = -6(4 + -1b) + 18 18 + 9b = (4 * -6 + -1b * -6) + 18 18 + 9b = (-24 + 6b) + 18 Reorder the terms: 18 + 9b = -24 + 18 + 6b Combine like terms: -24 + 18 = -6 18 + 9b = -6 + 6b Solving 18 + 9b = -6 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 18 + 9b + -6b = -6 + 6b + -6b Combine like terms: 9b + -6b = 3b 18 + 3b = -6 + 6b + -6b Combine like terms: 6b + -6b = 0 18 + 3b = -6 + 0 18 + 3b = -6 Add '-18' to each side of the equation. 18 + -18 + 3b = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3b = -6 + -18 3b = -6 + -18 Combine like terms: -6 + -18 = -24 3b = -24 Divide each side by '3'. b = -8 Simplifying b = -8
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