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Simplifying 3.2q + -5.1 + -5.8q = -1.6q + -5.1 Reorder the terms: -5.1 + 3.2q + -5.8q = -1.6q + -5.1 Combine like terms: 3.2q + -5.8q = -2.6q -5.1 + -2.6q = -1.6q + -5.1 Reorder the terms: -5.1 + -2.6q = -5.1 + -1.6q Add '5.1' to each side of the equation. -5.1 + 5.1 + -2.6q = -5.1 + 5.1 + -1.6q Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -2.6q = -5.1 + 5.1 + -1.6q -2.6q = -5.1 + 5.1 + -1.6q Combine like terms: -5.1 + 5.1 = 0.0 -2.6q = 0.0 + -1.6q -2.6q = -1.6q Solving -2.6q = -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -2.6q + 1.6q = -1.6q + 1.6q Combine like terms: -2.6q + 1.6q = -1q -1q = -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -1q = 0.0 Divide each side by '-1'. q = 0.0 Simplifying q = 0.0
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