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Simplifying 4.5q + -4.6 + -4.6q = -1.1q + -1.3 Reorder the terms: -4.6 + 4.5q + -4.6q = -1.1q + -1.3 Combine like terms: 4.5q + -4.6q = -0.1q -4.6 + -0.1q = -1.1q + -1.3 Reorder the terms: -4.6 + -0.1q = -1.3 + -1.1q Solving -4.6 + -0.1q = -1.3 + -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. -4.6 + -0.1q + 1.1q = -1.3 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -4.6 + 1q = -1.3 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -4.6 + 1q = -1.3 + 0.0 -4.6 + 1q = -1.3 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -1.3 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -1.3 + 4.6 1q = -1.3 + 4.6 Combine like terms: -1.3 + 4.6 = 3.3 1q = 3.3 Divide each side by '1'. q = 3.3 Simplifying q = 3.3
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