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Simplifying 4b + -2(b + -9) = 2 + 3b Reorder the terms: 4b + -2(-9 + b) = 2 + 3b 4b + (-9 * -2 + b * -2) = 2 + 3b 4b + (18 + -2b) = 2 + 3b Reorder the terms: 18 + 4b + -2b = 2 + 3b Combine like terms: 4b + -2b = 2b 18 + 2b = 2 + 3b Solving 18 + 2b = 2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 18 + 2b + -3b = 2 + 3b + -3b Combine like terms: 2b + -3b = -1b 18 + -1b = 2 + 3b + -3b Combine like terms: 3b + -3b = 0 18 + -1b = 2 + 0 18 + -1b = 2 Add '-18' to each side of the equation. 18 + -18 + -1b = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = 2 + -18 -1b = 2 + -18 Combine like terms: 2 + -18 = -16 -1b = -16 Divide each side by '-1'. b = 16 Simplifying b = 16
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