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Simplifying 11 + 2q = 3(q + -6) Reorder the terms: 11 + 2q = 3(-6 + q) 11 + 2q = (-6 * 3 + q * 3) 11 + 2q = (-18 + 3q) Solving 11 + 2q = -18 + 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. 11 + 2q + -3q = -18 + 3q + -3q Combine like terms: 2q + -3q = -1q 11 + -1q = -18 + 3q + -3q Combine like terms: 3q + -3q = 0 11 + -1q = -18 + 0 11 + -1q = -18 Add '-11' to each side of the equation. 11 + -11 + -1q = -18 + -11 Combine like terms: 11 + -11 = 0 0 + -1q = -18 + -11 -1q = -18 + -11 Combine like terms: -18 + -11 = -29 -1q = -29 Divide each side by '-1'. q = 29 Simplifying q = 29
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