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Simplifying 1.4q + -5.2 + -5.8q = 5.4q + -4.7 Reorder the terms: -5.2 + 1.4q + -5.8q = 5.4q + -4.7 Combine like terms: 1.4q + -5.8q = -4.4q -5.2 + -4.4q = 5.4q + -4.7 Reorder the terms: -5.2 + -4.4q = -4.7 + 5.4q Solving -5.2 + -4.4q = -4.7 + 5.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5.4q' to each side of the equation. -5.2 + -4.4q + -5.4q = -4.7 + 5.4q + -5.4q Combine like terms: -4.4q + -5.4q = -9.8q -5.2 + -9.8q = -4.7 + 5.4q + -5.4q Combine like terms: 5.4q + -5.4q = 0.0 -5.2 + -9.8q = -4.7 + 0.0 -5.2 + -9.8q = -4.7 Add '5.2' to each side of the equation. -5.2 + 5.2 + -9.8q = -4.7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + -9.8q = -4.7 + 5.2 -9.8q = -4.7 + 5.2 Combine like terms: -4.7 + 5.2 = 0.5 -9.8q = 0.5 Divide each side by '-9.8'. q = -0.05102040816 Simplifying q = -0.05102040816
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