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Simplifying -11q + 5 + -5q + 11 = 36 + 10q + 2q Reorder the terms: 5 + 11 + -11q + -5q = 36 + 10q + 2q Combine like terms: 5 + 11 = 16 16 + -11q + -5q = 36 + 10q + 2q Combine like terms: -11q + -5q = -16q 16 + -16q = 36 + 10q + 2q Combine like terms: 10q + 2q = 12q 16 + -16q = 36 + 12q Solving 16 + -16q = 36 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 16 + -16q + -12q = 36 + 12q + -12q Combine like terms: -16q + -12q = -28q 16 + -28q = 36 + 12q + -12q Combine like terms: 12q + -12q = 0 16 + -28q = 36 + 0 16 + -28q = 36 Add '-16' to each side of the equation. 16 + -16 + -28q = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -28q = 36 + -16 -28q = 36 + -16 Combine like terms: 36 + -16 = 20 -28q = 20 Divide each side by '-28'. q = -0.7142857143 Simplifying q = -0.7142857143
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