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Simplifying 4.7q + -5.6 + -4.3q = -0.6q + -1.4 Reorder the terms: -5.6 + 4.7q + -4.3q = -0.6q + -1.4 Combine like terms: 4.7q + -4.3q = 0.4q -5.6 + 0.4q = -0.6q + -1.4 Reorder the terms: -5.6 + 0.4q = -1.4 + -0.6q Solving -5.6 + 0.4q = -1.4 + -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. -5.6 + 0.4q + 0.6q = -1.4 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -5.6 + 1q = -1.4 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -5.6 + 1q = -1.4 + 0.0 -5.6 + 1q = -1.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + 1q = -1.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 1q = -1.4 + 5.6 1q = -1.4 + 5.6 Combine like terms: -1.4 + 5.6 = 4.2 1q = 4.2 Divide each side by '1'. q = 4.2 Simplifying q = 4.2
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