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Simplifying 127 = 2q + -11 + 4q Reorder the terms: 127 = -11 + 2q + 4q Combine like terms: 2q + 4q = 6q 127 = -11 + 6q Solving 127 = -11 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 127 + -6q = -11 + 6q + -6q Combine like terms: 6q + -6q = 0 127 + -6q = -11 + 0 127 + -6q = -11 Add '-127' to each side of the equation. 127 + -127 + -6q = -11 + -127 Combine like terms: 127 + -127 = 0 0 + -6q = -11 + -127 -6q = -11 + -127 Combine like terms: -11 + -127 = -138 -6q = -138 Divide each side by '-6'. q = 23 Simplifying q = 23
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