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Simplifying 99 = 11(q + 4) Reorder the terms: 99 = 11(4 + q) 99 = (4 * 11 + q * 11) 99 = (44 + 11q) Solving 99 = 44 + 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. 99 + -11q = 44 + 11q + -11q Combine like terms: 11q + -11q = 0 99 + -11q = 44 + 0 99 + -11q = 44 Add '-99' to each side of the equation. 99 + -99 + -11q = 44 + -99 Combine like terms: 99 + -99 = 0 0 + -11q = 44 + -99 -11q = 44 + -99 Combine like terms: 44 + -99 = -55 -11q = -55 Divide each side by '-11'. q = 5 Simplifying q = 5
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