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Simplifying 3.8q + -4.2 + -5.4q = -2.6q + -1.7 Reorder the terms: -4.2 + 3.8q + -5.4q = -2.6q + -1.7 Combine like terms: 3.8q + -5.4q = -1.6q -4.2 + -1.6q = -2.6q + -1.7 Reorder the terms: -4.2 + -1.6q = -1.7 + -2.6q Solving -4.2 + -1.6q = -1.7 + -2.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.6q' to each side of the equation. -4.2 + -1.6q + 2.6q = -1.7 + -2.6q + 2.6q Combine like terms: -1.6q + 2.6q = 1q -4.2 + 1q = -1.7 + -2.6q + 2.6q Combine like terms: -2.6q + 2.6q = 0.0 -4.2 + 1q = -1.7 + 0.0 -4.2 + 1q = -1.7 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -1.7 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -1.7 + 4.2 1q = -1.7 + 4.2 Combine like terms: -1.7 + 4.2 = 2.5 1q = 2.5 Divide each side by '1'. q = 2.5 Simplifying q = 2.5
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