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Simplifying 5.6q + -5.6 + -4.7q = -0.1q + -2.6 Reorder the terms: -5.6 + 5.6q + -4.7q = -0.1q + -2.6 Combine like terms: 5.6q + -4.7q = 0.9q -5.6 + 0.9q = -0.1q + -2.6 Reorder the terms: -5.6 + 0.9q = -2.6 + -0.1q Solving -5.6 + 0.9q = -2.6 + -0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.1q' to each side of the equation. -5.6 + 0.9q + 0.1q = -2.6 + -0.1q + 0.1q Combine like terms: 0.9q + 0.1q = 1q -5.6 + 1q = -2.6 + -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -5.6 + 1q = -2.6 + 0.0 -5.6 + 1q = -2.6 Add '5.6' to each side of the equation. -5.6 + 5.6 + 1q = -2.6 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 1q = -2.6 + 5.6 1q = -2.6 + 5.6 Combine like terms: -2.6 + 5.6 = 3 1q = 3 Divide each side by '1'. q = 3 Simplifying q = 3
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