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Simplifying 0.4(2 + -1q) = -30 (2 * 0.4 + -1q * 0.4) = -30 (0.8 + -0.4q) = -30 Solving 0.8 + -0.4q = -30 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.4q = -30 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4q = -30 + -0.8 -0.4q = -30 + -0.8 Combine like terms: -30 + -0.8 = -30.8 -0.4q = -30.8 Divide each side by '-0.4'. q = 77 Simplifying q = 77
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