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Simplifying 3(2q + 5) = 5(x + 1q) Reorder the terms: 3(5 + 2q) = 5(x + 1q) (5 * 3 + 2q * 3) = 5(x + 1q) (15 + 6q) = 5(x + 1q) Reorder the terms: 15 + 6q = 5(1q + x) 15 + 6q = (1q * 5 + x * 5) 15 + 6q = (5q + 5x) Solving 15 + 6q = 5q + 5x 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. 15 + 6q + -5q = 5q + -5q + 5x Combine like terms: 6q + -5q = 1q 15 + 1q = 5q + -5q + 5x Combine like terms: 5q + -5q = 0 15 + 1q = 0 + 5x 15 + 1q = 5x Add '-15' to each side of the equation. 15 + -15 + 1q = -15 + 5x Combine like terms: 15 + -15 = 0 0 + 1q = -15 + 5x 1q = -15 + 5x Divide each side by '1'. q = -15 + 5x Simplifying q = -15 + 5x
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