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Simplifying 0.4(2 + -1q) = 0.2(q + -7) (2 * 0.4 + -1q * 0.4) = 0.2(q + -7) (0.8 + -0.4q) = 0.2(q + -7) Reorder the terms: 0.8 + -0.4q = 0.2(-7 + q) 0.8 + -0.4q = (-7 * 0.2 + q * 0.2) 0.8 + -0.4q = (-1.4 + 0.2q) Solving 0.8 + -0.4q = -1.4 + 0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.2q' to each side of the equation. 0.8 + -0.4q + -0.2q = -1.4 + 0.2q + -0.2q Combine like terms: -0.4q + -0.2q = -0.6q 0.8 + -0.6q = -1.4 + 0.2q + -0.2q Combine like terms: 0.2q + -0.2q = 0.0 0.8 + -0.6q = -1.4 + 0.0 0.8 + -0.6q = -1.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.6q = -1.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.6q = -1.4 + -0.8 -0.6q = -1.4 + -0.8 Combine like terms: -1.4 + -0.8 = -2.2 -0.6q = -2.2 Divide each side by '-0.6'. q = 3.666666667 Simplifying q = 3.666666667
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