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Simplifying 3.8q + -2.8 + -5.4q = -2.6q + -5.4 Reorder the terms: -2.8 + 3.8q + -5.4q = -2.6q + -5.4 Combine like terms: 3.8q + -5.4q = -1.6q -2.8 + -1.6q = -2.6q + -5.4 Reorder the terms: -2.8 + -1.6q = -5.4 + -2.6q Solving -2.8 + -1.6q = -5.4 + -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. -2.8 + -1.6q + 2.6q = -5.4 + -2.6q + 2.6q Combine like terms: -1.6q + 2.6q = 1q -2.8 + 1q = -5.4 + -2.6q + 2.6q Combine like terms: -2.6q + 2.6q = 0.0 -2.8 + 1q = -5.4 + 0.0 -2.8 + 1q = -5.4 Add '2.8' to each side of the equation. -2.8 + 2.8 + 1q = -5.4 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + 1q = -5.4 + 2.8 1q = -5.4 + 2.8 Combine like terms: -5.4 + 2.8 = -2.6 1q = -2.6 Divide each side by '1'. q = -2.6 Simplifying q = -2.6
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