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Simplifying 3b + -2(b + -9) = 3 + 2b Reorder the terms: 3b + -2(-9 + b) = 3 + 2b 3b + (-9 * -2 + b * -2) = 3 + 2b 3b + (18 + -2b) = 3 + 2b Reorder the terms: 18 + 3b + -2b = 3 + 2b Combine like terms: 3b + -2b = 1b 18 + 1b = 3 + 2b Solving 18 + 1b = 3 + 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 + 1b + -2b = 3 + 2b + -2b Combine like terms: 1b + -2b = -1b 18 + -1b = 3 + 2b + -2b Combine like terms: 2b + -2b = 0 18 + -1b = 3 + 0 18 + -1b = 3 Add '-18' to each side of the equation. 18 + -18 + -1b = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = 3 + -18 -1b = 3 + -18 Combine like terms: 3 + -18 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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