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Simplifying 10q + 10 = 2q + 6q + -8 Reorder the terms: 10 + 10q = 2q + 6q + -8 Reorder the terms: 10 + 10q = -8 + 2q + 6q Combine like terms: 2q + 6q = 8q 10 + 10q = -8 + 8q Solving 10 + 10q = -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. 10 + 10q + -8q = -8 + 8q + -8q Combine like terms: 10q + -8q = 2q 10 + 2q = -8 + 8q + -8q Combine like terms: 8q + -8q = 0 10 + 2q = -8 + 0 10 + 2q = -8 Add '-10' to each side of the equation. 10 + -10 + 2q = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 2q = -8 + -10 2q = -8 + -10 Combine like terms: -8 + -10 = -18 2q = -18 Divide each side by '2'. q = -9 Simplifying q = -9
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