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Simplifying 1.4q + -3.3 + -4.6q = 4.2q + -3.8 Reorder the terms: -3.3 + 1.4q + -4.6q = 4.2q + -3.8 Combine like terms: 1.4q + -4.6q = -3.2q -3.3 + -3.2q = 4.2q + -3.8 Reorder the terms: -3.3 + -3.2q = -3.8 + 4.2q Solving -3.3 + -3.2q = -3.8 + 4.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.2q' to each side of the equation. -3.3 + -3.2q + -4.2q = -3.8 + 4.2q + -4.2q Combine like terms: -3.2q + -4.2q = -7.4q -3.3 + -7.4q = -3.8 + 4.2q + -4.2q Combine like terms: 4.2q + -4.2q = 0.0 -3.3 + -7.4q = -3.8 + 0.0 -3.3 + -7.4q = -3.8 Add '3.3' to each side of the equation. -3.3 + 3.3 + -7.4q = -3.8 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + -7.4q = -3.8 + 3.3 -7.4q = -3.8 + 3.3 Combine like terms: -3.8 + 3.3 = -0.5 -7.4q = -0.5 Divide each side by '-7.4'. q = 0.06756756757 Simplifying q = 0.06756756757
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