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Simplifying 4.5q + -4.1 + -5.1q = 1.6q + -2.7 Reorder the terms: -4.1 + 4.5q + -5.1q = 1.6q + -2.7 Combine like terms: 4.5q + -5.1q = -0.6q -4.1 + -0.6q = 1.6q + -2.7 Reorder the terms: -4.1 + -0.6q = -2.7 + 1.6q Solving -4.1 + -0.6q = -2.7 + 1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.6q' to each side of the equation. -4.1 + -0.6q + -1.6q = -2.7 + 1.6q + -1.6q Combine like terms: -0.6q + -1.6q = -2.2q -4.1 + -2.2q = -2.7 + 1.6q + -1.6q Combine like terms: 1.6q + -1.6q = 0.0 -4.1 + -2.2q = -2.7 + 0.0 -4.1 + -2.2q = -2.7 Add '4.1' to each side of the equation. -4.1 + 4.1 + -2.2q = -2.7 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + -2.2q = -2.7 + 4.1 -2.2q = -2.7 + 4.1 Combine like terms: -2.7 + 4.1 = 1.4 -2.2q = 1.4 Divide each side by '-2.2'. q = -0.6363636364 Simplifying q = -0.6363636364
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