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Simplifying 2.3q + 10 = 5q + -38 Reorder the terms: 10 + 2.3q = 5q + -38 Reorder the terms: 10 + 2.3q = -38 + 5q Solving 10 + 2.3q = -38 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 10 + 2.3q + -5q = -38 + 5q + -5q Combine like terms: 2.3q + -5q = -2.7q 10 + -2.7q = -38 + 5q + -5q Combine like terms: 5q + -5q = 0 10 + -2.7q = -38 + 0 10 + -2.7q = -38 Add '-10' to each side of the equation. 10 + -10 + -2.7q = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -2.7q = -38 + -10 -2.7q = -38 + -10 Combine like terms: -38 + -10 = -48 -2.7q = -48 Divide each side by '-2.7'. q = 17.77777778 Simplifying q = 17.77777778
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