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Simplifying 1.6q + -1.9 + -1.8q = -1.2q + -5.1 Reorder the terms: -1.9 + 1.6q + -1.8q = -1.2q + -5.1 Combine like terms: 1.6q + -1.8q = -0.2q -1.9 + -0.2q = -1.2q + -5.1 Reorder the terms: -1.9 + -0.2q = -5.1 + -1.2q Solving -1.9 + -0.2q = -5.1 + -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. -1.9 + -0.2q + 1.2q = -5.1 + -1.2q + 1.2q Combine like terms: -0.2q + 1.2q = 1q -1.9 + 1q = -5.1 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 -1.9 + 1q = -5.1 + 0.0 -1.9 + 1q = -5.1 Add '1.9' to each side of the equation. -1.9 + 1.9 + 1q = -5.1 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 1q = -5.1 + 1.9 1q = -5.1 + 1.9 Combine like terms: -5.1 + 1.9 = -3.2 1q = -3.2 Divide each side by '1'. q = -3.2 Simplifying q = -3.2
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