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Simplifying 4.7q + -4.2 + -5.8q = -0.1q + -4.2 Reorder the terms: -4.2 + 4.7q + -5.8q = -0.1q + -4.2 Combine like terms: 4.7q + -5.8q = -1.1q -4.2 + -1.1q = -0.1q + -4.2 Reorder the terms: -4.2 + -1.1q = -4.2 + -0.1q Add '4.2' to each side of the equation. -4.2 + 4.2 + -1.1q = -4.2 + 4.2 + -0.1q Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -1.1q = -4.2 + 4.2 + -0.1q -1.1q = -4.2 + 4.2 + -0.1q Combine like terms: -4.2 + 4.2 = 0.0 -1.1q = 0.0 + -0.1q -1.1q = -0.1q Solving -1.1q = -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. -1.1q + 0.1q = -0.1q + 0.1q Combine like terms: -1.1q + 0.1q = -1q -1q = -0.1q + 0.1q Combine like terms: -0.1q + 0.1q = 0.0 -1q = 0.0 Divide each side by '-1'. q = 0.0 Simplifying q = 0.0
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