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Simplifying 4.7q + -2.3 + -5.9q = 0.2q + -2.3 Reorder the terms: -2.3 + 4.7q + -5.9q = 0.2q + -2.3 Combine like terms: 4.7q + -5.9q = -1.2q -2.3 + -1.2q = 0.2q + -2.3 Reorder the terms: -2.3 + -1.2q = -2.3 + 0.2q Add '2.3' to each side of the equation. -2.3 + 2.3 + -1.2q = -2.3 + 2.3 + 0.2q Combine like terms: -2.3 + 2.3 = 0.0 0.0 + -1.2q = -2.3 + 2.3 + 0.2q -1.2q = -2.3 + 2.3 + 0.2q Combine like terms: -2.3 + 2.3 = 0.0 -1.2q = 0.0 + 0.2q -1.2q = 0.2q Solving -1.2q = 0.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.2q' to each side of the equation. -1.2q + -0.2q = 0.2q + -0.2q Combine like terms: -1.2q + -0.2q = -1.4q -1.4q = 0.2q + -0.2q Combine like terms: 0.2q + -0.2q = 0.0 -1.4q = 0.0 Divide each side by '-1.4'. q = 0 Simplifying q = 0
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