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Simplifying 5.2q + -4.2 + -5.6q = -1.4q + -1.9 Reorder the terms: -4.2 + 5.2q + -5.6q = -1.4q + -1.9 Combine like terms: 5.2q + -5.6q = -0.4q -4.2 + -0.4q = -1.4q + -1.9 Reorder the terms: -4.2 + -0.4q = -1.9 + -1.4q Solving -4.2 + -0.4q = -1.9 + -1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.4q' to each side of the equation. -4.2 + -0.4q + 1.4q = -1.9 + -1.4q + 1.4q Combine like terms: -0.4q + 1.4q = 1q -4.2 + 1q = -1.9 + -1.4q + 1.4q Combine like terms: -1.4q + 1.4q = 0.0 -4.2 + 1q = -1.9 + 0.0 -4.2 + 1q = -1.9 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -1.9 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -1.9 + 4.2 1q = -1.9 + 4.2 Combine like terms: -1.9 + 4.2 = 2.3 1q = 2.3 Divide each side by '1'. q = 2.3 Simplifying q = 2.3
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