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Simplifying 5.8q + -1.1 + -5.6q = -0.8q + -5.1 Reorder the terms: -1.1 + 5.8q + -5.6q = -0.8q + -5.1 Combine like terms: 5.8q + -5.6q = 0.2q -1.1 + 0.2q = -0.8q + -5.1 Reorder the terms: -1.1 + 0.2q = -5.1 + -0.8q Solving -1.1 + 0.2q = -5.1 + -0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.8q' to each side of the equation. -1.1 + 0.2q + 0.8q = -5.1 + -0.8q + 0.8q Combine like terms: 0.2q + 0.8q = 1q -1.1 + 1q = -5.1 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -1.1 + 1q = -5.1 + 0.0 -1.1 + 1q = -5.1 Add '1.1' to each side of the equation. -1.1 + 1.1 + 1q = -5.1 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + 1q = -5.1 + 1.1 1q = -5.1 + 1.1 Combine like terms: -5.1 + 1.1 = -4 1q = -4 Divide each side by '1'. q = -4 Simplifying q = -4
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