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Simplifying 4b + -3(b + -8) = 2 + 2b Reorder the terms: 4b + -3(-8 + b) = 2 + 2b 4b + (-8 * -3 + b * -3) = 2 + 2b 4b + (24 + -3b) = 2 + 2b Reorder the terms: 24 + 4b + -3b = 2 + 2b Combine like terms: 4b + -3b = 1b 24 + 1b = 2 + 2b Solving 24 + 1b = 2 + 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. 24 + 1b + -2b = 2 + 2b + -2b Combine like terms: 1b + -2b = -1b 24 + -1b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + -1b = 2 + 0 24 + -1b = 2 Add '-24' to each side of the equation. 24 + -24 + -1b = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -1b = 2 + -24 -1b = 2 + -24 Combine like terms: 2 + -24 = -22 -1b = -22 Divide each side by '-1'. b = 22 Simplifying b = 22
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