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Simplifying 4.7q + -2.2 + -5.8q = 0.1q + -2.2 Reorder the terms: -2.2 + 4.7q + -5.8q = 0.1q + -2.2 Combine like terms: 4.7q + -5.8q = -1.1q -2.2 + -1.1q = 0.1q + -2.2 Reorder the terms: -2.2 + -1.1q = -2.2 + 0.1q Add '2.2' to each side of the equation. -2.2 + 2.2 + -1.1q = -2.2 + 2.2 + 0.1q Combine like terms: -2.2 + 2.2 = 0.0 0.0 + -1.1q = -2.2 + 2.2 + 0.1q -1.1q = -2.2 + 2.2 + 0.1q Combine like terms: -2.2 + 2.2 = 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 = -1.2q -1.2q = 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -1.2q = 0.0 Divide each side by '-1.2'. q = 0 Simplifying q = 0
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