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Simplifying 2q + -23 + 4q + 2q + -20 = 180 Reorder the terms: -23 + -20 + 2q + 4q + 2q = 180 Combine like terms: -23 + -20 = -43 -43 + 2q + 4q + 2q = 180 Combine like terms: 2q + 4q = 6q -43 + 6q + 2q = 180 Combine like terms: 6q + 2q = 8q -43 + 8q = 180 Solving -43 + 8q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 8q = 180 + 43 Combine like terms: -43 + 43 = 0 0 + 8q = 180 + 43 8q = 180 + 43 Combine like terms: 180 + 43 = 223 8q = 223 Divide each side by '8'. q = 27.875 Simplifying q = 27.875
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