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Simplifying 1.5(b + 2.4) + -3 = 6.15 Reorder the terms: 1.5(2.4 + b) + -3 = 6.15 (2.4 * 1.5 + b * 1.5) + -3 = 6.15 (3.6 + 1.5b) + -3 = 6.15 Reorder the terms: 3.6 + -3 + 1.5b = 6.15 Combine like terms: 3.6 + -3 = 0.6 0.6 + 1.5b = 6.15 Solving 0.6 + 1.5b = 6.15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.5b = 6.15 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.5b = 6.15 + -0.6 1.5b = 6.15 + -0.6 Combine like terms: 6.15 + -0.6 = 5.55 1.5b = 5.55 Divide each side by '1.5'. b = 3.7 Simplifying b = 3.7
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