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Simplifying 3.4q + -4.5 + -4.2q = 1.8q + -5.6 Reorder the terms: -4.5 + 3.4q + -4.2q = 1.8q + -5.6 Combine like terms: 3.4q + -4.2q = -0.8q -4.5 + -0.8q = 1.8q + -5.6 Reorder the terms: -4.5 + -0.8q = -5.6 + 1.8q Solving -4.5 + -0.8q = -5.6 + 1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.8q' to each side of the equation. -4.5 + -0.8q + -1.8q = -5.6 + 1.8q + -1.8q Combine like terms: -0.8q + -1.8q = -2.6q -4.5 + -2.6q = -5.6 + 1.8q + -1.8q Combine like terms: 1.8q + -1.8q = 0.0 -4.5 + -2.6q = -5.6 + 0.0 -4.5 + -2.6q = -5.6 Add '4.5' to each side of the equation. -4.5 + 4.5 + -2.6q = -5.6 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -2.6q = -5.6 + 4.5 -2.6q = -5.6 + 4.5 Combine like terms: -5.6 + 4.5 = -1.1 -2.6q = -1.1 Divide each side by '-2.6'. q = 0.4230769231 Simplifying q = 0.4230769231
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