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Simplifying 1.2q + -3.5 + -4.9q = 4.7q + -3.6 Reorder the terms: -3.5 + 1.2q + -4.9q = 4.7q + -3.6 Combine like terms: 1.2q + -4.9q = -3.7q -3.5 + -3.7q = 4.7q + -3.6 Reorder the terms: -3.5 + -3.7q = -3.6 + 4.7q Solving -3.5 + -3.7q = -3.6 + 4.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.7q' to each side of the equation. -3.5 + -3.7q + -4.7q = -3.6 + 4.7q + -4.7q Combine like terms: -3.7q + -4.7q = -8.4q -3.5 + -8.4q = -3.6 + 4.7q + -4.7q Combine like terms: 4.7q + -4.7q = 0.0 -3.5 + -8.4q = -3.6 + 0.0 -3.5 + -8.4q = -3.6 Add '3.5' to each side of the equation. -3.5 + 3.5 + -8.4q = -3.6 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -8.4q = -3.6 + 3.5 -8.4q = -3.6 + 3.5 Combine like terms: -3.6 + 3.5 = -0.1 -8.4q = -0.1 Divide each side by '-8.4'. q = 0.0119047619 Simplifying q = 0.0119047619
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