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Simplifying 5q + -7 = 24 + -3q Reorder the terms: -7 + 5q = 24 + -3q Solving -7 + 5q = 24 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -7 + 5q + 3q = 24 + -3q + 3q Combine like terms: 5q + 3q = 8q -7 + 8q = 24 + -3q + 3q Combine like terms: -3q + 3q = 0 -7 + 8q = 24 + 0 -7 + 8q = 24 Add '7' to each side of the equation. -7 + 7 + 8q = 24 + 7 Combine like terms: -7 + 7 = 0 0 + 8q = 24 + 7 8q = 24 + 7 Combine like terms: 24 + 7 = 31 8q = 31 Divide each side by '8'. q = 3.875 Simplifying q = 3.875
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