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Simplifying 3 + -0.4(q + -6) = 0.2(12q + -6) Reorder the terms: 3 + -0.4(-6 + q) = 0.2(12q + -6) 3 + (-6 * -0.4 + q * -0.4) = 0.2(12q + -6) 3 + (2.4 + -0.4q) = 0.2(12q + -6) Combine like terms: 3 + 2.4 = 5.4 5.4 + -0.4q = 0.2(12q + -6) Reorder the terms: 5.4 + -0.4q = 0.2(-6 + 12q) 5.4 + -0.4q = (-6 * 0.2 + 12q * 0.2) 5.4 + -0.4q = (-1.2 + 2.4q) Solving 5.4 + -0.4q = -1.2 + 2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.4q' to each side of the equation. 5.4 + -0.4q + -2.4q = -1.2 + 2.4q + -2.4q Combine like terms: -0.4q + -2.4q = -2.8q 5.4 + -2.8q = -1.2 + 2.4q + -2.4q Combine like terms: 2.4q + -2.4q = 0.0 5.4 + -2.8q = -1.2 + 0.0 5.4 + -2.8q = -1.2 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -2.8q = -1.2 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -2.8q = -1.2 + -5.4 -2.8q = -1.2 + -5.4 Combine like terms: -1.2 + -5.4 = -6.6 -2.8q = -6.6 Divide each side by '-2.8'. q = 2.357142857 Simplifying q = 2.357142857
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