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Simplifying 5q + -8 = -2q + 48 Reorder the terms: -8 + 5q = -2q + 48 Reorder the terms: -8 + 5q = 48 + -2q Solving -8 + 5q = 48 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -8 + 5q + 2q = 48 + -2q + 2q Combine like terms: 5q + 2q = 7q -8 + 7q = 48 + -2q + 2q Combine like terms: -2q + 2q = 0 -8 + 7q = 48 + 0 -8 + 7q = 48 Add '8' to each side of the equation. -8 + 8 + 7q = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 7q = 48 + 8 7q = 48 + 8 Combine like terms: 48 + 8 = 56 7q = 56 Divide each side by '7'. q = 8 Simplifying q = 8
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