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Simplifying -2(b + 4) = 3b + -24 + -1b Reorder the terms: -2(4 + b) = 3b + -24 + -1b (4 * -2 + b * -2) = 3b + -24 + -1b (-8 + -2b) = 3b + -24 + -1b Reorder the terms: -8 + -2b = -24 + 3b + -1b Combine like terms: 3b + -1b = 2b -8 + -2b = -24 + 2b Solving -8 + -2b = -24 + 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. -8 + -2b + -2b = -24 + 2b + -2b Combine like terms: -2b + -2b = -4b -8 + -4b = -24 + 2b + -2b Combine like terms: 2b + -2b = 0 -8 + -4b = -24 + 0 -8 + -4b = -24 Add '8' to each side of the equation. -8 + 8 + -4b = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -4b = -24 + 8 -4b = -24 + 8 Combine like terms: -24 + 8 = -16 -4b = -16 Divide each side by '-4'. b = 4 Simplifying b = 4
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