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Simplifying 3q + -16 = 5q + 38 Reorder the terms: -16 + 3q = 5q + 38 Reorder the terms: -16 + 3q = 38 + 5q Solving -16 + 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 + 3q + -5q = 38 + 5q + -5q Combine like terms: 3q + -5q = -2q -16 + -2q = 38 + 5q + -5q Combine like terms: 5q + -5q = 0 -16 + -2q = 38 + 0 -16 + -2q = 38 Add '16' to each side of the equation. -16 + 16 + -2q = 38 + 16 Combine like terms: -16 + 16 = 0 0 + -2q = 38 + 16 -2q = 38 + 16 Combine like terms: 38 + 16 = 54 -2q = 54 Divide each side by '-2'. q = -27 Simplifying q = -27
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