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Simplifying -4.23 + -0.5b = 7.2(b + 2.3) Reorder the terms: -4.23 + -0.5b = 7.2(2.3 + b) -4.23 + -0.5b = (2.3 * 7.2 + b * 7.2) -4.23 + -0.5b = (16.56 + 7.2b) Solving -4.23 + -0.5b = 16.56 + 7.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7.2b' to each side of the equation. -4.23 + -0.5b + -7.2b = 16.56 + 7.2b + -7.2b Combine like terms: -0.5b + -7.2b = -7.7b -4.23 + -7.7b = 16.56 + 7.2b + -7.2b Combine like terms: 7.2b + -7.2b = 0.0 -4.23 + -7.7b = 16.56 + 0.0 -4.23 + -7.7b = 16.56 Add '4.23' to each side of the equation. -4.23 + 4.23 + -7.7b = 16.56 + 4.23 Combine like terms: -4.23 + 4.23 = 0.00 0.00 + -7.7b = 16.56 + 4.23 -7.7b = 16.56 + 4.23 Combine like terms: 16.56 + 4.23 = 20.79 -7.7b = 20.79 Divide each side by '-7.7'. b = -2.7 Simplifying b = -2.7
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