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Simplifying 3.7q + -5.1 + -4.5q = -1.8q + -1.5 Reorder the terms: -5.1 + 3.7q + -4.5q = -1.8q + -1.5 Combine like terms: 3.7q + -4.5q = -0.8q -5.1 + -0.8q = -1.8q + -1.5 Reorder the terms: -5.1 + -0.8q = -1.5 + -1.8q Solving -5.1 + -0.8q = -1.5 + -1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.8q' to each side of the equation. -5.1 + -0.8q + 1.8q = -1.5 + -1.8q + 1.8q Combine like terms: -0.8q + 1.8q = 1q -5.1 + 1q = -1.5 + -1.8q + 1.8q Combine like terms: -1.8q + 1.8q = 0.0 -5.1 + 1q = -1.5 + 0.0 -5.1 + 1q = -1.5 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1q = -1.5 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1q = -1.5 + 5.1 1q = -1.5 + 5.1 Combine like terms: -1.5 + 5.1 = 3.6 1q = 3.6 Divide each side by '1'. q = 3.6 Simplifying q = 3.6
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