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Simplifying 5.2q + -4.3 + -5.8q = -1.6q + -1.4 Reorder the terms: -4.3 + 5.2q + -5.8q = -1.6q + -1.4 Combine like terms: 5.2q + -5.8q = -0.6q -4.3 + -0.6q = -1.6q + -1.4 Reorder the terms: -4.3 + -0.6q = -1.4 + -1.6q Solving -4.3 + -0.6q = -1.4 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -4.3 + -0.6q + 1.6q = -1.4 + -1.6q + 1.6q Combine like terms: -0.6q + 1.6q = 1q -4.3 + 1q = -1.4 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -4.3 + 1q = -1.4 + 0.0 -4.3 + 1q = -1.4 Add '4.3' to each side of the equation. -4.3 + 4.3 + 1q = -1.4 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 1q = -1.4 + 4.3 1q = -1.4 + 4.3 Combine like terms: -1.4 + 4.3 = 2.9 1q = 2.9 Divide each side by '1'. q = 2.9 Simplifying q = 2.9
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