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Simplifying 3.3q + -4.7 + -3.5q = 1.2q + -2.7 Reorder the terms: -4.7 + 3.3q + -3.5q = 1.2q + -2.7 Combine like terms: 3.3q + -3.5q = -0.2q -4.7 + -0.2q = 1.2q + -2.7 Reorder the terms: -4.7 + -0.2q = -2.7 + 1.2q Solving -4.7 + -0.2q = -2.7 + 1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.2q' to each side of the equation. -4.7 + -0.2q + -1.2q = -2.7 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -4.7 + -1.4q = -2.7 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -4.7 + -1.4q = -2.7 + 0.0 -4.7 + -1.4q = -2.7 Add '4.7' to each side of the equation. -4.7 + 4.7 + -1.4q = -2.7 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + -1.4q = -2.7 + 4.7 -1.4q = -2.7 + 4.7 Combine like terms: -2.7 + 4.7 = 2 -1.4q = 2 Divide each side by '-1.4'. q = -1.428571429 Simplifying q = -1.428571429
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