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Simplifying 2q + -6 + 5q = 8q + -8 Reorder the terms: -6 + 2q + 5q = 8q + -8 Combine like terms: 2q + 5q = 7q -6 + 7q = 8q + -8 Reorder the terms: -6 + 7q = -8 + 8q Solving -6 + 7q = -8 + 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. -6 + 7q + -8q = -8 + 8q + -8q Combine like terms: 7q + -8q = -1q -6 + -1q = -8 + 8q + -8q Combine like terms: 8q + -8q = 0 -6 + -1q = -8 + 0 -6 + -1q = -8 Add '6' to each side of the equation. -6 + 6 + -1q = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -1q = -8 + 6 -1q = -8 + 6 Combine like terms: -8 + 6 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2
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