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Simplifying b + 2(9 + -3b) = 0.75(-8b + 12) b + (9 * 2 + -3b * 2) = 0.75(-8b + 12) b + (18 + -6b) = 0.75(-8b + 12) Reorder the terms: 18 + b + -6b = 0.75(-8b + 12) Combine like terms: b + -6b = -5b 18 + -5b = 0.75(-8b + 12) Reorder the terms: 18 + -5b = 0.75(12 + -8b) 18 + -5b = (12 * 0.75 + -8b * 0.75) 18 + -5b = (9 + -6b) Solving 18 + -5b = 9 + -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. 18 + -5b + 6b = 9 + -6b + 6b Combine like terms: -5b + 6b = 1b 18 + 1b = 9 + -6b + 6b Combine like terms: -6b + 6b = 0 18 + 1b = 9 + 0 18 + 1b = 9 Add '-18' to each side of the equation. 18 + -18 + 1b = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 1b = 9 + -18 1b = 9 + -18 Combine like terms: 9 + -18 = -9 1b = -9 Divide each side by '1'. b = -9 Simplifying b = -9
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