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Simplifying 5.5(4.5b + 6) = 22.5 + 7b Reorder the terms: 5.5(6 + 4.5b) = 22.5 + 7b (6 * 5.5 + 4.5b * 5.5) = 22.5 + 7b (33 + 24.75b) = 22.5 + 7b Solving 33 + 24.75b = 22.5 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 33 + 24.75b + -7b = 22.5 + 7b + -7b Combine like terms: 24.75b + -7b = 17.75b 33 + 17.75b = 22.5 + 7b + -7b Combine like terms: 7b + -7b = 0 33 + 17.75b = 22.5 + 0 33 + 17.75b = 22.5 Add '-33' to each side of the equation. 33 + -33 + 17.75b = 22.5 + -33 Combine like terms: 33 + -33 = 0 0 + 17.75b = 22.5 + -33 17.75b = 22.5 + -33 Combine like terms: 22.5 + -33 = -10.5 17.75b = -10.5 Divide each side by '17.75'. b = -0.5915492958 Simplifying b = -0.5915492958
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