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Simplifying 5.4q + -1.4 + -5.6q = 1.2q + -2.1 Reorder the terms: -1.4 + 5.4q + -5.6q = 1.2q + -2.1 Combine like terms: 5.4q + -5.6q = -0.2q -1.4 + -0.2q = 1.2q + -2.1 Reorder the terms: -1.4 + -0.2q = -2.1 + 1.2q Solving -1.4 + -0.2q = -2.1 + 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. -1.4 + -0.2q + -1.2q = -2.1 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -1.4 + -1.4q = -2.1 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -1.4 + -1.4q = -2.1 + 0.0 -1.4 + -1.4q = -2.1 Add '1.4' to each side of the equation. -1.4 + 1.4 + -1.4q = -2.1 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -1.4q = -2.1 + 1.4 -1.4q = -2.1 + 1.4 Combine like terms: -2.1 + 1.4 = -0.7 -1.4q = -0.7 Divide each side by '-1.4'. q = 0.5 Simplifying q = 0.5
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