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Simplifying 1.6q + -1.9 + -4.8q = 4.2q + -3.8 Reorder the terms: -1.9 + 1.6q + -4.8q = 4.2q + -3.8 Combine like terms: 1.6q + -4.8q = -3.2q -1.9 + -3.2q = 4.2q + -3.8 Reorder the terms: -1.9 + -3.2q = -3.8 + 4.2q Solving -1.9 + -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. -1.9 + -3.2q + -4.2q = -3.8 + 4.2q + -4.2q Combine like terms: -3.2q + -4.2q = -7.4q -1.9 + -7.4q = -3.8 + 4.2q + -4.2q Combine like terms: 4.2q + -4.2q = 0.0 -1.9 + -7.4q = -3.8 + 0.0 -1.9 + -7.4q = -3.8 Add '1.9' to each side of the equation. -1.9 + 1.9 + -7.4q = -3.8 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -7.4q = -3.8 + 1.9 -7.4q = -3.8 + 1.9 Combine like terms: -3.8 + 1.9 = -1.9 -7.4q = -1.9 Divide each side by '-7.4'. q = 0.2567567568 Simplifying q = 0.2567567568
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