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Simplifying 11(q + -3) = 5q + 15 Reorder the terms: 11(-3 + q) = 5q + 15 (-3 * 11 + q * 11) = 5q + 15 (-33 + 11q) = 5q + 15 Reorder the terms: -33 + 11q = 15 + 5q Solving -33 + 11q = 15 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -33 + 11q + -5q = 15 + 5q + -5q Combine like terms: 11q + -5q = 6q -33 + 6q = 15 + 5q + -5q Combine like terms: 5q + -5q = 0 -33 + 6q = 15 + 0 -33 + 6q = 15 Add '33' to each side of the equation. -33 + 33 + 6q = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 6q = 15 + 33 6q = 15 + 33 Combine like terms: 15 + 33 = 48 6q = 48 Divide each side by '6'. q = 8 Simplifying q = 8
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