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Simplifying 0.75(24 + -8b) = 2(5b + 1) (24 * 0.75 + -8b * 0.75) = 2(5b + 1) (18 + -6b) = 2(5b + 1) Reorder the terms: 18 + -6b = 2(1 + 5b) 18 + -6b = (1 * 2 + 5b * 2) 18 + -6b = (2 + 10b) Solving 18 + -6b = 2 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 18 + -6b + -10b = 2 + 10b + -10b Combine like terms: -6b + -10b = -16b 18 + -16b = 2 + 10b + -10b Combine like terms: 10b + -10b = 0 18 + -16b = 2 + 0 18 + -16b = 2 Add '-18' to each side of the equation. 18 + -18 + -16b = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -16b = 2 + -18 -16b = 2 + -18 Combine like terms: 2 + -18 = -16 -16b = -16 Divide each side by '-16'. b = 1 Simplifying b = 1
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