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Simplifying 1.1q + -3.3 + -1.7q = 1 + -6q + -5.1 Reorder the terms: -3.3 + 1.1q + -1.7q = 1 + -6q + -5.1 Combine like terms: 1.1q + -1.7q = -0.6q -3.3 + -0.6q = 1 + -6q + -5.1 Reorder the terms: -3.3 + -0.6q = 1 + -5.1 + -6q Combine like terms: 1 + -5.1 = -4.1 -3.3 + -0.6q = -4.1 + -6q Solving -3.3 + -0.6q = -4.1 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. -3.3 + -0.6q + 6q = -4.1 + -6q + 6q Combine like terms: -0.6q + 6q = 5.4q -3.3 + 5.4q = -4.1 + -6q + 6q Combine like terms: -6q + 6q = 0 -3.3 + 5.4q = -4.1 + 0 -3.3 + 5.4q = -4.1 Add '3.3' to each side of the equation. -3.3 + 3.3 + 5.4q = -4.1 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 5.4q = -4.1 + 3.3 5.4q = -4.1 + 3.3 Combine like terms: -4.1 + 3.3 = -0.8 5.4q = -0.8 Divide each side by '5.4'. q = -0.1481481481 Simplifying q = -0.1481481481
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