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Simplifying 3.2b + 6.15 = -11.9b + 15.4b + 8.46 Reorder the terms: 6.15 + 3.2b = -11.9b + 15.4b + 8.46 Reorder the terms: 6.15 + 3.2b = 8.46 + -11.9b + 15.4b Combine like terms: -11.9b + 15.4b = 3.5b 6.15 + 3.2b = 8.46 + 3.5b Solving 6.15 + 3.2b = 8.46 + 3.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5b' to each side of the equation. 6.15 + 3.2b + -3.5b = 8.46 + 3.5b + -3.5b Combine like terms: 3.2b + -3.5b = -0.3b 6.15 + -0.3b = 8.46 + 3.5b + -3.5b Combine like terms: 3.5b + -3.5b = 0.0 6.15 + -0.3b = 8.46 + 0.0 6.15 + -0.3b = 8.46 Add '-6.15' to each side of the equation. 6.15 + -6.15 + -0.3b = 8.46 + -6.15 Combine like terms: 6.15 + -6.15 = 0.00 0.00 + -0.3b = 8.46 + -6.15 -0.3b = 8.46 + -6.15 Combine like terms: 8.46 + -6.15 = 2.31 -0.3b = 2.31 Divide each side by '-0.3'. b = -7.7 Simplifying b = -7.7
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