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Simplifying 1.6q + -3.4 + -1.8q = 1.2q + -5.3 Reorder the terms: -3.4 + 1.6q + -1.8q = 1.2q + -5.3 Combine like terms: 1.6q + -1.8q = -0.2q -3.4 + -0.2q = 1.2q + -5.3 Reorder the terms: -3.4 + -0.2q = -5.3 + 1.2q Solving -3.4 + -0.2q = -5.3 + 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. -3.4 + -0.2q + -1.2q = -5.3 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -3.4 + -1.4q = -5.3 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -3.4 + -1.4q = -5.3 + 0.0 -3.4 + -1.4q = -5.3 Add '3.4' to each side of the equation. -3.4 + 3.4 + -1.4q = -5.3 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -1.4q = -5.3 + 3.4 -1.4q = -5.3 + 3.4 Combine like terms: -5.3 + 3.4 = -1.9 -1.4q = -1.9 Divide each side by '-1.4'. q = 1.357142857 Simplifying q = 1.357142857
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