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Simplifying 4b + -3(b + -9) = 3 + 2b Reorder the terms: 4b + -3(-9 + b) = 3 + 2b 4b + (-9 * -3 + b * -3) = 3 + 2b 4b + (27 + -3b) = 3 + 2b Reorder the terms: 27 + 4b + -3b = 3 + 2b Combine like terms: 4b + -3b = 1b 27 + 1b = 3 + 2b Solving 27 + 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. 27 + 1b + -2b = 3 + 2b + -2b Combine like terms: 1b + -2b = -1b 27 + -1b = 3 + 2b + -2b Combine like terms: 2b + -2b = 0 27 + -1b = 3 + 0 27 + -1b = 3 Add '-27' to each side of the equation. 27 + -27 + -1b = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -1b = 3 + -27 -1b = 3 + -27 Combine like terms: 3 + -27 = -24 -1b = -24 Divide each side by '-1'. b = 24 Simplifying b = 24
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