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Simplifying 8(b + 3) = 3(2b + -4) Reorder the terms: 8(3 + b) = 3(2b + -4) (3 * 8 + b * 8) = 3(2b + -4) (24 + 8b) = 3(2b + -4) Reorder the terms: 24 + 8b = 3(-4 + 2b) 24 + 8b = (-4 * 3 + 2b * 3) 24 + 8b = (-12 + 6b) Solving 24 + 8b = -12 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 24 + 8b + -6b = -12 + 6b + -6b Combine like terms: 8b + -6b = 2b 24 + 2b = -12 + 6b + -6b Combine like terms: 6b + -6b = 0 24 + 2b = -12 + 0 24 + 2b = -12 Add '-24' to each side of the equation. 24 + -24 + 2b = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 2b = -12 + -24 2b = -12 + -24 Combine like terms: -12 + -24 = -36 2b = -36 Divide each side by '2'. b = -18 Simplifying b = -18
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