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Simplifying 2(9q + -1) + 24q + 14 = 180 Reorder the terms: 2(-1 + 9q) + 24q + 14 = 180 (-1 * 2 + 9q * 2) + 24q + 14 = 180 (-2 + 18q) + 24q + 14 = 180 Reorder the terms: -2 + 14 + 18q + 24q = 180 Combine like terms: -2 + 14 = 12 12 + 18q + 24q = 180 Combine like terms: 18q + 24q = 42q 12 + 42q = 180 Solving 12 + 42q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 42q = 180 + -12 Combine like terms: 12 + -12 = 0 0 + 42q = 180 + -12 42q = 180 + -12 Combine like terms: 180 + -12 = 168 42q = 168 Divide each side by '42'. q = 4 Simplifying q = 4
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