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Simplifying 0.6(b + -6) = 0.09b + 1.5 + -0.9 + 0.03b Reorder the terms: 0.6(-6 + b) = 0.09b + 1.5 + -0.9 + 0.03b (-6 * 0.6 + b * 0.6) = 0.09b + 1.5 + -0.9 + 0.03b (-3.6 + 0.6b) = 0.09b + 1.5 + -0.9 + 0.03b Reorder the terms: -3.6 + 0.6b = 1.5 + -0.9 + 0.09b + 0.03b Combine like terms: 1.5 + -0.9 = 0.6 -3.6 + 0.6b = 0.6 + 0.09b + 0.03b Combine like terms: 0.09b + 0.03b = 0.12b -3.6 + 0.6b = 0.6 + 0.12b Solving -3.6 + 0.6b = 0.6 + 0.12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.12b' to each side of the equation. -3.6 + 0.6b + -0.12b = 0.6 + 0.12b + -0.12b Combine like terms: 0.6b + -0.12b = 0.48b -3.6 + 0.48b = 0.6 + 0.12b + -0.12b Combine like terms: 0.12b + -0.12b = 0.00 -3.6 + 0.48b = 0.6 + 0.00 -3.6 + 0.48b = 0.6 Add '3.6' to each side of the equation. -3.6 + 3.6 + 0.48b = 0.6 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.48b = 0.6 + 3.6 0.48b = 0.6 + 3.6 Combine like terms: 0.6 + 3.6 = 4.2 0.48b = 4.2 Divide each side by '0.48'. b = 8.75 Simplifying b = 8.75
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