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Simplifying 4.2q + -3.7 + -4.8q = -1.6q + -5.5 Reorder the terms: -3.7 + 4.2q + -4.8q = -1.6q + -5.5 Combine like terms: 4.2q + -4.8q = -0.6q -3.7 + -0.6q = -1.6q + -5.5 Reorder the terms: -3.7 + -0.6q = -5.5 + -1.6q Solving -3.7 + -0.6q = -5.5 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. -3.7 + -0.6q + 1.6q = -5.5 + -1.6q + 1.6q Combine like terms: -0.6q + 1.6q = 1q -3.7 + 1q = -5.5 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 -3.7 + 1q = -5.5 + 0.0 -3.7 + 1q = -5.5 Add '3.7' to each side of the equation. -3.7 + 3.7 + 1q = -5.5 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + 1q = -5.5 + 3.7 1q = -5.5 + 3.7 Combine like terms: -5.5 + 3.7 = -1.8 1q = -1.8 Divide each side by '1'. q = -1.8 Simplifying q = -1.8
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