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