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Simplifying 5.4q + -1.9 + -5.6q = 1.2q + -3.3 Reorder the terms: -1.9 + 5.4q + -5.6q = 1.2q + -3.3 Combine like terms: 5.4q + -5.6q = -0.2q -1.9 + -0.2q = 1.2q + -3.3 Reorder the terms: -1.9 + -0.2q = -3.3 + 1.2q Solving -1.9 + -0.2q = -3.3 + 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. -1.9 + -0.2q + -1.2q = -3.3 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -1.9 + -1.4q = -3.3 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -1.9 + -1.4q = -3.3 + 0.0 -1.9 + -1.4q = -3.3 Add '1.9' to each side of the equation. -1.9 + 1.9 + -1.4q = -3.3 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -1.4q = -3.3 + 1.9 -1.4q = -3.3 + 1.9 Combine like terms: -3.3 + 1.9 = -1.4 -1.4q = -1.4 Divide each side by '-1.4'. q = 1 Simplifying q = 1
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