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Simplifying 6q + 8 = 6q + 2q + 10 Reorder the terms: 8 + 6q = 6q + 2q + 10 Reorder the terms: 8 + 6q = 10 + 6q + 2q Combine like terms: 6q + 2q = 8q 8 + 6q = 10 + 8q Solving 8 + 6q = 10 + 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. 8 + 6q + -8q = 10 + 8q + -8q Combine like terms: 6q + -8q = -2q 8 + -2q = 10 + 8q + -8q Combine like terms: 8q + -8q = 0 8 + -2q = 10 + 0 8 + -2q = 10 Add '-8' to each side of the equation. 8 + -8 + -2q = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2q = 10 + -8 -2q = 10 + -8 Combine like terms: 10 + -8 = 2 -2q = 2 Divide each side by '-2'. q = -1 Simplifying q = -1
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