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Simplifying 4(2b + 9) = 6(8b + 2) Reorder the terms: 4(9 + 2b) = 6(8b + 2) (9 * 4 + 2b * 4) = 6(8b + 2) (36 + 8b) = 6(8b + 2) Reorder the terms: 36 + 8b = 6(2 + 8b) 36 + 8b = (2 * 6 + 8b * 6) 36 + 8b = (12 + 48b) Solving 36 + 8b = 12 + 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. 36 + 8b + -48b = 12 + 48b + -48b Combine like terms: 8b + -48b = -40b 36 + -40b = 12 + 48b + -48b Combine like terms: 48b + -48b = 0 36 + -40b = 12 + 0 36 + -40b = 12 Add '-36' to each side of the equation. 36 + -36 + -40b = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -40b = 12 + -36 -40b = 12 + -36 Combine like terms: 12 + -36 = -24 -40b = -24 Divide each side by '-40'. b = 0.6 Simplifying b = 0.6
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