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Simplifying 369 = 11(q + 19) Reorder the terms: 369 = 11(19 + q) 369 = (19 * 11 + q * 11) 369 = (209 + 11q) Solving 369 = 209 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 369 + -11q = 209 + 11q + -11q Combine like terms: 11q + -11q = 0 369 + -11q = 209 + 0 369 + -11q = 209 Add '-369' to each side of the equation. 369 + -369 + -11q = 209 + -369 Combine like terms: 369 + -369 = 0 0 + -11q = 209 + -369 -11q = 209 + -369 Combine like terms: 209 + -369 = -160 -11q = -160 Divide each side by '-11'. q = 14.54545455 Simplifying q = 14.54545455
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