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Simplifying 8x + 11 + 12x + -1q = 180 Reorder the terms: 11 + -1q + 8x + 12x = 180 Combine like terms: 8x + 12x = 20x 11 + -1q + 20x = 180 Solving 11 + -1q + 20x = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -1q + -11 + 20x = 180 + -11 Reorder the terms: 11 + -11 + -1q + 20x = 180 + -11 Combine like terms: 11 + -11 = 0 0 + -1q + 20x = 180 + -11 -1q + 20x = 180 + -11 Combine like terms: 180 + -11 = 169 -1q + 20x = 169 Add '-20x' to each side of the equation. -1q + 20x + -20x = 169 + -20x Combine like terms: 20x + -20x = 0 -1q + 0 = 169 + -20x -1q = 169 + -20x Divide each side by '-1'. q = -169 + 20x Simplifying q = -169 + 20x
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