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Simplifying 5.6q + -2.4 + -4.7q = 0.1q + -5.6 Reorder the terms: -2.4 + 5.6q + -4.7q = 0.1q + -5.6 Combine like terms: 5.6q + -4.7q = 0.9q -2.4 + 0.9q = 0.1q + -5.6 Reorder the terms: -2.4 + 0.9q = -5.6 + 0.1q Solving -2.4 + 0.9q = -5.6 + 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. -2.4 + 0.9q + -0.1q = -5.6 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -2.4 + 0.8q = -5.6 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -2.4 + 0.8q = -5.6 + 0.0 -2.4 + 0.8q = -5.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.8q = -5.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.8q = -5.6 + 2.4 0.8q = -5.6 + 2.4 Combine like terms: -5.6 + 2.4 = -3.2 0.8q = -3.2 Divide each side by '0.8'. q = -4 Simplifying q = -4
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