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Simplifying 13b + -3(b + -8) = 12 + 2(b + -3) Reorder the terms: 13b + -3(-8 + b) = 12 + 2(b + -3) 13b + (-8 * -3 + b * -3) = 12 + 2(b + -3) 13b + (24 + -3b) = 12 + 2(b + -3) Reorder the terms: 24 + 13b + -3b = 12 + 2(b + -3) Combine like terms: 13b + -3b = 10b 24 + 10b = 12 + 2(b + -3) Reorder the terms: 24 + 10b = 12 + 2(-3 + b) 24 + 10b = 12 + (-3 * 2 + b * 2) 24 + 10b = 12 + (-6 + 2b) Combine like terms: 12 + -6 = 6 24 + 10b = 6 + 2b Solving 24 + 10b = 6 + 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 + 10b + -2b = 6 + 2b + -2b Combine like terms: 10b + -2b = 8b 24 + 8b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + 8b = 6 + 0 24 + 8b = 6 Add '-24' to each side of the equation. 24 + -24 + 8b = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 8b = 6 + -24 8b = 6 + -24 Combine like terms: 6 + -24 = -18 8b = -18 Divide each side by '8'. b = -2.25 Simplifying b = -2.25
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