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Simplifying 0.4(3 + 6q) = 0.3(q + 7) (3 * 0.4 + 6q * 0.4) = 0.3(q + 7) (1.2 + 2.4q) = 0.3(q + 7) Reorder the terms: 1.2 + 2.4q = 0.3(7 + q) 1.2 + 2.4q = (7 * 0.3 + q * 0.3) 1.2 + 2.4q = (2.1 + 0.3q) Solving 1.2 + 2.4q = 2.1 + 0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.3q' to each side of the equation. 1.2 + 2.4q + -0.3q = 2.1 + 0.3q + -0.3q Combine like terms: 2.4q + -0.3q = 2.1q 1.2 + 2.1q = 2.1 + 0.3q + -0.3q Combine like terms: 0.3q + -0.3q = 0.0 1.2 + 2.1q = 2.1 + 0.0 1.2 + 2.1q = 2.1 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 2.1q = 2.1 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 2.1q = 2.1 + -1.2 2.1q = 2.1 + -1.2 Combine like terms: 2.1 + -1.2 = 0.9 2.1q = 0.9 Divide each side by '2.1'. q = 0.4285714286 Simplifying q = 0.4285714286
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