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Simplifying 5.8q + -1.7 + -5.4q = -0.6q + -4.2 Reorder the terms: -1.7 + 5.8q + -5.4q = -0.6q + -4.2 Combine like terms: 5.8q + -5.4q = 0.4q -1.7 + 0.4q = -0.6q + -4.2 Reorder the terms: -1.7 + 0.4q = -4.2 + -0.6q Solving -1.7 + 0.4q = -4.2 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -1.7 + 0.4q + 0.6q = -4.2 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -1.7 + 1q = -4.2 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -1.7 + 1q = -4.2 + 0.0 -1.7 + 1q = -4.2 Add '1.7' to each side of the equation. -1.7 + 1.7 + 1q = -4.2 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 1q = -4.2 + 1.7 1q = -4.2 + 1.7 Combine like terms: -4.2 + 1.7 = -2.5 1q = -2.5 Divide each side by '1'. q = -2.5 Simplifying q = -2.5
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