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Simplifying 0.4q + -0.03 + 0.2q = 0.7 + q Reorder the terms: -0.03 + 0.4q + 0.2q = 0.7 + q Combine like terms: 0.4q + 0.2q = 0.6q -0.03 + 0.6q = 0.7 + q Solving -0.03 + 0.6q = 0.7 + 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. -0.03 + 0.6q + -1q = 0.7 + q + -1q Combine like terms: 0.6q + -1q = -0.4q -0.03 + -0.4q = 0.7 + q + -1q Combine like terms: q + -1q = 0 -0.03 + -0.4q = 0.7 + 0 -0.03 + -0.4q = 0.7 Add '0.03' to each side of the equation. -0.03 + 0.03 + -0.4q = 0.7 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + -0.4q = 0.7 + 0.03 -0.4q = 0.7 + 0.03 Combine like terms: 0.7 + 0.03 = 0.73 -0.4q = 0.73 Divide each side by '-0.4'. q = -1.825 Simplifying q = -1.825
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