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Simplifying 6 + 2q = 3(q + 2) Reorder the terms: 6 + 2q = 3(2 + q) 6 + 2q = (2 * 3 + q * 3) 6 + 2q = (6 + 3q) Add '-6' to each side of the equation. 6 + -6 + 2q = 6 + -6 + 3q Combine like terms: 6 + -6 = 0 0 + 2q = 6 + -6 + 3q 2q = 6 + -6 + 3q Combine like terms: 6 + -6 = 0 2q = 0 + 3q 2q = 3q Solving 2q = 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. 2q + -3q = 3q + -3q Combine like terms: 2q + -3q = -1q -1q = 3q + -3q Combine like terms: 3q + -3q = 0 -1q = 0 Divide each side by '-1'. q = 0 Simplifying q = 0
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