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Simplifying 10q + -5 = 8q + 13 Reorder the terms: -5 + 10q = 8q + 13 Reorder the terms: -5 + 10q = 13 + 8q Solving -5 + 10q = 13 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -5 + 10q + -8q = 13 + 8q + -8q Combine like terms: 10q + -8q = 2q -5 + 2q = 13 + 8q + -8q Combine like terms: 8q + -8q = 0 -5 + 2q = 13 + 0 -5 + 2q = 13 Add '5' to each side of the equation. -5 + 5 + 2q = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 2q = 13 + 5 2q = 13 + 5 Combine like terms: 13 + 5 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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