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Simplifying 27 = 3(6q + 3) Reorder the terms: 27 = 3(3 + 6q) 27 = (3 * 3 + 6q * 3) 27 = (9 + 18q) Solving 27 = 9 + 18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-18q' to each side of the equation. 27 + -18q = 9 + 18q + -18q Combine like terms: 18q + -18q = 0 27 + -18q = 9 + 0 27 + -18q = 9 Add '-27' to each side of the equation. 27 + -27 + -18q = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -18q = 9 + -27 -18q = 9 + -27 Combine like terms: 9 + -27 = -18 -18q = -18 Divide each side by '-18'. q = 1 Simplifying q = 1
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