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Simplifying 4.2q + -4.1 + -5.9q = 0.7q + -4.1 Reorder the terms: -4.1 + 4.2q + -5.9q = 0.7q + -4.1 Combine like terms: 4.2q + -5.9q = -1.7q -4.1 + -1.7q = 0.7q + -4.1 Reorder the terms: -4.1 + -1.7q = -4.1 + 0.7q Add '4.1' to each side of the equation. -4.1 + 4.1 + -1.7q = -4.1 + 4.1 + 0.7q Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -1.7q = -4.1 + 4.1 + 0.7q -1.7q = -4.1 + 4.1 + 0.7q Combine like terms: -4.1 + 4.1 = 0.0 -1.7q = 0.0 + 0.7q -1.7q = 0.7q Solving -1.7q = 0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.7q' to each side of the equation. -1.7q + -0.7q = 0.7q + -0.7q Combine like terms: -1.7q + -0.7q = -2.4q -2.4q = 0.7q + -0.7q Combine like terms: 0.7q + -0.7q = 0.0 -2.4q = 0.0 Divide each side by '-2.4'. q = 0 Simplifying q = 0
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