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Simplifying 3.6q + -5.7 + -2.8q = -0.2q + -1.5 Reorder the terms: -5.7 + 3.6q + -2.8q = -0.2q + -1.5 Combine like terms: 3.6q + -2.8q = 0.8q -5.7 + 0.8q = -0.2q + -1.5 Reorder the terms: -5.7 + 0.8q = -1.5 + -0.2q Solving -5.7 + 0.8q = -1.5 + -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. -5.7 + 0.8q + 0.2q = -1.5 + -0.2q + 0.2q Combine like terms: 0.8q + 0.2q = 1q -5.7 + 1q = -1.5 + -0.2q + 0.2q Combine like terms: -0.2q + 0.2q = 0.0 -5.7 + 1q = -1.5 + 0.0 -5.7 + 1q = -1.5 Add '5.7' to each side of the equation. -5.7 + 5.7 + 1q = -1.5 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + 1q = -1.5 + 5.7 1q = -1.5 + 5.7 Combine like terms: -1.5 + 5.7 = 4.2 1q = 4.2 Divide each side by '1'. q = 4.2 Simplifying q = 4.2
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