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Simplifying 0.4(2 + -1q) = (q + 7) (2 * 0.4 + -1q * 0.4) = (q + 7) (0.8 + -0.4q) = (q + 7) Reorder the terms: 0.8 + -0.4q = (7 + q) Remove parenthesis around (7 + q) 0.8 + -0.4q = 7 + q Solving 0.8 + -0.4q = 7 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 0.8 + -0.4q + -1q = 7 + q + -1q Combine like terms: -0.4q + -1q = -1.4q 0.8 + -1.4q = 7 + q + -1q Combine like terms: q + -1q = 0 0.8 + -1.4q = 7 + 0 0.8 + -1.4q = 7 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -1.4q = 7 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1.4q = 7 + -0.8 -1.4q = 7 + -0.8 Combine like terms: 7 + -0.8 = 6.2 -1.4q = 6.2 Divide each side by '-1.4'. q = -4.428571429 Simplifying q = -4.428571429
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