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Simplifying 11q + -29 = 3(2q + -3) Reorder the terms: -29 + 11q = 3(2q + -3) Reorder the terms: -29 + 11q = 3(-3 + 2q) -29 + 11q = (-3 * 3 + 2q * 3) -29 + 11q = (-9 + 6q) Solving -29 + 11q = -9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -29 + 11q + -6q = -9 + 6q + -6q Combine like terms: 11q + -6q = 5q -29 + 5q = -9 + 6q + -6q Combine like terms: 6q + -6q = 0 -29 + 5q = -9 + 0 -29 + 5q = -9 Add '29' to each side of the equation. -29 + 29 + 5q = -9 + 29 Combine like terms: -29 + 29 = 0 0 + 5q = -9 + 29 5q = -9 + 29 Combine like terms: -9 + 29 = 20 5q = 20 Divide each side by '5'. q = 4 Simplifying q = 4
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