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Simplifying 7q + -54 = 5q + -38 Reorder the terms: -54 + 7q = 5q + -38 Reorder the terms: -54 + 7q = -38 + 5q Solving -54 + 7q = -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. -54 + 7q + -5q = -38 + 5q + -5q Combine like terms: 7q + -5q = 2q -54 + 2q = -38 + 5q + -5q Combine like terms: 5q + -5q = 0 -54 + 2q = -38 + 0 -54 + 2q = -38 Add '54' to each side of the equation. -54 + 54 + 2q = -38 + 54 Combine like terms: -54 + 54 = 0 0 + 2q = -38 + 54 2q = -38 + 54 Combine like terms: -38 + 54 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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