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Simplifying 12 + 5b = -3(b + 8) Reorder the terms: 12 + 5b = -3(8 + b) 12 + 5b = (8 * -3 + b * -3) 12 + 5b = (-24 + -3b) Solving 12 + 5b = -24 + -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. 12 + 5b + 3b = -24 + -3b + 3b Combine like terms: 5b + 3b = 8b 12 + 8b = -24 + -3b + 3b Combine like terms: -3b + 3b = 0 12 + 8b = -24 + 0 12 + 8b = -24 Add '-12' to each side of the equation. 12 + -12 + 8b = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 8b = -24 + -12 8b = -24 + -12 Combine like terms: -24 + -12 = -36 8b = -36 Divide each side by '8'. b = -4.5 Simplifying b = -4.5
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