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Simplifying 4.5q + -1.7 + -5.8q = -2.3q + -4.6 Reorder the terms: -1.7 + 4.5q + -5.8q = -2.3q + -4.6 Combine like terms: 4.5q + -5.8q = -1.3q -1.7 + -1.3q = -2.3q + -4.6 Reorder the terms: -1.7 + -1.3q = -4.6 + -2.3q Solving -1.7 + -1.3q = -4.6 + -2.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.3q' to each side of the equation. -1.7 + -1.3q + 2.3q = -4.6 + -2.3q + 2.3q Combine like terms: -1.3q + 2.3q = 1q -1.7 + 1q = -4.6 + -2.3q + 2.3q Combine like terms: -2.3q + 2.3q = 0.0 -1.7 + 1q = -4.6 + 0.0 -1.7 + 1q = -4.6 Add '1.7' to each side of the equation. -1.7 + 1.7 + 1q = -4.6 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 1q = -4.6 + 1.7 1q = -4.6 + 1.7 Combine like terms: -4.6 + 1.7 = -2.9 1q = -2.9 Divide each side by '1'. q = -2.9 Simplifying q = -2.9
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