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Simplifying 1.2q + -5.9 + -0.9q = 0.7q + -5.1 Reorder the terms: -5.9 + 1.2q + -0.9q = 0.7q + -5.1 Combine like terms: 1.2q + -0.9q = 0.3q -5.9 + 0.3q = 0.7q + -5.1 Reorder the terms: -5.9 + 0.3q = -5.1 + 0.7q Solving -5.9 + 0.3q = -5.1 + 0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.7q' to each side of the equation. -5.9 + 0.3q + -0.7q = -5.1 + 0.7q + -0.7q Combine like terms: 0.3q + -0.7q = -0.4q -5.9 + -0.4q = -5.1 + 0.7q + -0.7q Combine like terms: 0.7q + -0.7q = 0.0 -5.9 + -0.4q = -5.1 + 0.0 -5.9 + -0.4q = -5.1 Add '5.9' to each side of the equation. -5.9 + 5.9 + -0.4q = -5.1 + 5.9 Combine like terms: -5.9 + 5.9 = 0.0 0.0 + -0.4q = -5.1 + 5.9 -0.4q = -5.1 + 5.9 Combine like terms: -5.1 + 5.9 = 0.8 -0.4q = 0.8 Divide each side by '-0.4'. q = -2 Simplifying q = -2
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