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Simplifying 5.1q + -1.5 + -5.2q = -1.1q + -3.9 Reorder the terms: -1.5 + 5.1q + -5.2q = -1.1q + -3.9 Combine like terms: 5.1q + -5.2q = -0.1q -1.5 + -0.1q = -1.1q + -3.9 Reorder the terms: -1.5 + -0.1q = -3.9 + -1.1q Solving -1.5 + -0.1q = -3.9 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -1.5 + -0.1q + 1.1q = -3.9 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -1.5 + 1q = -3.9 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -1.5 + 1q = -3.9 + 0.0 -1.5 + 1q = -3.9 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1q = -3.9 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1q = -3.9 + 1.5 1q = -3.9 + 1.5 Combine like terms: -3.9 + 1.5 = -2.4 1q = -2.4 Divide each side by '1'. q = -2.4 Simplifying q = -2.4
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