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Simplifying 1.1q + -2.5 + -4.2q = 4.1q + -2.9 Reorder the terms: -2.5 + 1.1q + -4.2q = 4.1q + -2.9 Combine like terms: 1.1q + -4.2q = -3.1q -2.5 + -3.1q = 4.1q + -2.9 Reorder the terms: -2.5 + -3.1q = -2.9 + 4.1q Solving -2.5 + -3.1q = -2.9 + 4.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.1q' to each side of the equation. -2.5 + -3.1q + -4.1q = -2.9 + 4.1q + -4.1q Combine like terms: -3.1q + -4.1q = -7.2q -2.5 + -7.2q = -2.9 + 4.1q + -4.1q Combine like terms: 4.1q + -4.1q = 0.0 -2.5 + -7.2q = -2.9 + 0.0 -2.5 + -7.2q = -2.9 Add '2.5' to each side of the equation. -2.5 + 2.5 + -7.2q = -2.9 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -7.2q = -2.9 + 2.5 -7.2q = -2.9 + 2.5 Combine like terms: -2.9 + 2.5 = -0.4 -7.2q = -0.4 Divide each side by '-7.2'. q = 0.05555555556 Simplifying q = 0.05555555556
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