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Simplifying 18 + 11q = 6(2q + 6) Reorder the terms: 18 + 11q = 6(6 + 2q) 18 + 11q = (6 * 6 + 2q * 6) 18 + 11q = (36 + 12q) Solving 18 + 11q = 36 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 18 + 11q + -12q = 36 + 12q + -12q Combine like terms: 11q + -12q = -1q 18 + -1q = 36 + 12q + -12q Combine like terms: 12q + -12q = 0 18 + -1q = 36 + 0 18 + -1q = 36 Add '-18' to each side of the equation. 18 + -18 + -1q = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -1q = 36 + -18 -1q = 36 + -18 Combine like terms: 36 + -18 = 18 -1q = 18 Divide each side by '-1'. q = -18 Simplifying q = -18
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