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Simplifying 2.3q + 16 = 5q + 38 Reorder the terms: 16 + 2.3q = 5q + 38 Reorder the terms: 16 + 2.3q = 38 + 5q Solving 16 + 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. 16 + 2.3q + -5q = 38 + 5q + -5q Combine like terms: 2.3q + -5q = -2.7q 16 + -2.7q = 38 + 5q + -5q Combine like terms: 5q + -5q = 0 16 + -2.7q = 38 + 0 16 + -2.7q = 38 Add '-16' to each side of the equation. 16 + -16 + -2.7q = 38 + -16 Combine like terms: 16 + -16 = 0 0 + -2.7q = 38 + -16 -2.7q = 38 + -16 Combine like terms: 38 + -16 = 22 -2.7q = 22 Divide each side by '-2.7'. q = -8.148148148 Simplifying q = -8.148148148
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