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Simplifying 0.9(5 + -2v) + 0.6(2.5b + -4) = 7.2 (5 * 0.9 + -2v * 0.9) + 0.6(2.5b + -4) = 7.2 (4.5 + -1.8v) + 0.6(2.5b + -4) = 7.2 Reorder the terms: 4.5 + -1.8v + 0.6(-4 + 2.5b) = 7.2 4.5 + -1.8v + (-4 * 0.6 + 2.5b * 0.6) = 7.2 4.5 + -1.8v + (-2.4 + 1.5b) = 7.2 Reorder the terms: 4.5 + -2.4 + 1.5b + -1.8v = 7.2 Combine like terms: 4.5 + -2.4 = 2.1 2.1 + 1.5b + -1.8v = 7.2 Solving 2.1 + 1.5b + -1.8v = 7.2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + 1.5b + -2.1 + -1.8v = 7.2 + -2.1 Reorder the terms: 2.1 + -2.1 + 1.5b + -1.8v = 7.2 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 1.5b + -1.8v = 7.2 + -2.1 1.5b + -1.8v = 7.2 + -2.1 Combine like terms: 7.2 + -2.1 = 5.1 1.5b + -1.8v = 5.1 Add '1.8v' to each side of the equation. 1.5b + -1.8v + 1.8v = 5.1 + 1.8v Combine like terms: -1.8v + 1.8v = 0.0 1.5b + 0.0 = 5.1 + 1.8v 1.5b = 5.1 + 1.8v Divide each side by '1.5'. b = 3.4 + 1.2v Simplifying b = 3.4 + 1.2v
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