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Simplifying 1.6q + -3.5 + -5.2q = -4.6q + -5.4 Reorder the terms: -3.5 + 1.6q + -5.2q = -4.6q + -5.4 Combine like terms: 1.6q + -5.2q = -3.6q -3.5 + -3.6q = -4.6q + -5.4 Reorder the terms: -3.5 + -3.6q = -5.4 + -4.6q Solving -3.5 + -3.6q = -5.4 + -4.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.6q' to each side of the equation. -3.5 + -3.6q + 4.6q = -5.4 + -4.6q + 4.6q Combine like terms: -3.6q + 4.6q = 1q -3.5 + 1q = -5.4 + -4.6q + 4.6q Combine like terms: -4.6q + 4.6q = 0.0 -3.5 + 1q = -5.4 + 0.0 -3.5 + 1q = -5.4 Add '3.5' to each side of the equation. -3.5 + 3.5 + 1q = -5.4 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 1q = -5.4 + 3.5 1q = -5.4 + 3.5 Combine like terms: -5.4 + 3.5 = -1.9 1q = -1.9 Divide each side by '1'. q = -1.9 Simplifying q = -1.9
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