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Simplifying 4.2q + -5.9 + -4.4q = -1.2q + -4.6 Reorder the terms: -5.9 + 4.2q + -4.4q = -1.2q + -4.6 Combine like terms: 4.2q + -4.4q = -0.2q -5.9 + -0.2q = -1.2q + -4.6 Reorder the terms: -5.9 + -0.2q = -4.6 + -1.2q Solving -5.9 + -0.2q = -4.6 + -1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.2q' to each side of the equation. -5.9 + -0.2q + 1.2q = -4.6 + -1.2q + 1.2q Combine like terms: -0.2q + 1.2q = 1q -5.9 + 1q = -4.6 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -5.9 + 1q = -4.6 + 0.0 -5.9 + 1q = -4.6 Add '5.9' to each side of the equation. -5.9 + 5.9 + 1q = -4.6 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + 1q = -4.6 + 5.9 1q = -4.6 + 5.9 Combine like terms: -4.6 + 5.9 = 1.3 1q = 1.3 Divide each side by '1'. q = 1.3 Simplifying q = 1.3
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