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Simplifying 0.4(2 + -1a) = 0.2(q + 7) (2 * 0.4 + -1a * 0.4) = 0.2(q + 7) (0.8 + -0.4a) = 0.2(q + 7) Reorder the terms: 0.8 + -0.4a = 0.2(7 + q) 0.8 + -0.4a = (7 * 0.2 + q * 0.2) 0.8 + -0.4a = (1.4 + 0.2q) Solving 0.8 + -0.4a = 1.4 + 0.2q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.4a = 1.4 + -0.8 + 0.2q Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4a = 1.4 + -0.8 + 0.2q -0.4a = 1.4 + -0.8 + 0.2q Combine like terms: 1.4 + -0.8 = 0.6 -0.4a = 0.6 + 0.2q Divide each side by '-0.4'. a = -1.5 + -0.5q Simplifying a = -1.5 + -0.5q
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