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Simplifying 20(x + -1y) + -10(3x + -1q) = 0 (x * 20 + -1y * 20) + -10(3x + -1q) = 0 (20x + -20y) + -10(3x + -1q) = 0 Reorder the terms: 20x + -20y + -10(-1q + 3x) = 0 20x + -20y + (-1q * -10 + 3x * -10) = 0 20x + -20y + (10q + -30x) = 0 Reorder the terms: 10q + 20x + -30x + -20y = 0 Combine like terms: 20x + -30x = -10x 10q + -10x + -20y = 0 Solving 10q + -10x + -20y = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10x' to each side of the equation. 10q + -10x + 10x + -20y = 0 + 10x Combine like terms: -10x + 10x = 0 10q + 0 + -20y = 0 + 10x 10q + -20y = 0 + 10x Remove the zero: 10q + -20y = 10x Add '20y' to each side of the equation. 10q + -20y + 20y = 10x + 20y Combine like terms: -20y + 20y = 0 10q + 0 = 10x + 20y 10q = 10x + 20y Divide each side by '10'. q = x + 2y Simplifying q = x + 2y
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