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Simplifying 4.6q + -4.7 + -4.2q = -0.6q + -5.5 Reorder the terms: -4.7 + 4.6q + -4.2q = -0.6q + -5.5 Combine like terms: 4.6q + -4.2q = 0.4q -4.7 + 0.4q = -0.6q + -5.5 Reorder the terms: -4.7 + 0.4q = -5.5 + -0.6q Solving -4.7 + 0.4q = -5.5 + -0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.6q' to each side of the equation. -4.7 + 0.4q + 0.6q = -5.5 + -0.6q + 0.6q Combine like terms: 0.4q + 0.6q = 1q -4.7 + 1q = -5.5 + -0.6q + 0.6q Combine like terms: -0.6q + 0.6q = 0.0 -4.7 + 1q = -5.5 + 0.0 -4.7 + 1q = -5.5 Add '4.7' to each side of the equation. -4.7 + 4.7 + 1q = -5.5 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1q = -5.5 + 4.7 1q = -5.5 + 4.7 Combine like terms: -5.5 + 4.7 = -0.8 1q = -0.8 Divide each side by '1'. q = -0.8 Simplifying q = -0.8
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