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Simplifying 2q + 2 = 10 + 3q Reorder the terms: 2 + 2q = 10 + 3q Solving 2 + 2q = 10 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 2 + 2q + -3q = 10 + 3q + -3q Combine like terms: 2q + -3q = -1q 2 + -1q = 10 + 3q + -3q Combine like terms: 3q + -3q = 0 2 + -1q = 10 + 0 2 + -1q = 10 Add '-2' to each side of the equation. 2 + -2 + -1q = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 10 + -2 -1q = 10 + -2 Combine like terms: 10 + -2 = 8 -1q = 8 Divide each side by '-1'. q = -8 Simplifying q = -8
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