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Simplifying 4.6q + -3.1 + -4.7q = -1.1q + -1.7 Reorder the terms: -3.1 + 4.6q + -4.7q = -1.1q + -1.7 Combine like terms: 4.6q + -4.7q = -0.1q -3.1 + -0.1q = -1.1q + -1.7 Reorder the terms: -3.1 + -0.1q = -1.7 + -1.1q Solving -3.1 + -0.1q = -1.7 + -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. -3.1 + -0.1q + 1.1q = -1.7 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -3.1 + 1q = -1.7 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -3.1 + 1q = -1.7 + 0.0 -3.1 + 1q = -1.7 Add '3.1' to each side of the equation. -3.1 + 3.1 + 1q = -1.7 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + 1q = -1.7 + 3.1 1q = -1.7 + 3.1 Combine like terms: -1.7 + 3.1 = 1.4 1q = 1.4 Divide each side by '1'. q = 1.4 Simplifying q = 1.4
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