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Simplifying 5.8q + -3.7 + -5.3 = 0.5q + -2.9 Reorder the terms: -3.7 + -5.3 + 5.8q = 0.5q + -2.9 Combine like terms: -3.7 + -5.3 = -9 -9 + 5.8q = 0.5q + -2.9 Reorder the terms: -9 + 5.8q = -2.9 + 0.5q Solving -9 + 5.8q = -2.9 + 0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5q' to each side of the equation. -9 + 5.8q + -0.5q = -2.9 + 0.5q + -0.5q Combine like terms: 5.8q + -0.5q = 5.3q -9 + 5.3q = -2.9 + 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 -9 + 5.3q = -2.9 + 0.0 -9 + 5.3q = -2.9 Add '9' to each side of the equation. -9 + 9 + 5.3q = -2.9 + 9 Combine like terms: -9 + 9 = 0 0 + 5.3q = -2.9 + 9 5.3q = -2.9 + 9 Combine like terms: -2.9 + 9 = 6.1 5.3q = 6.1 Divide each side by '5.3'. q = 1.150943396 Simplifying q = 1.150943396
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