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Simplifying 32q + 11 + -28q = 20q + -10 + 10q + -4 Reorder the terms: 11 + 32q + -28q = 20q + -10 + 10q + -4 Combine like terms: 32q + -28q = 4q 11 + 4q = 20q + -10 + 10q + -4 Reorder the terms: 11 + 4q = -10 + -4 + 20q + 10q Combine like terms: -10 + -4 = -14 11 + 4q = -14 + 20q + 10q Combine like terms: 20q + 10q = 30q 11 + 4q = -14 + 30q Solving 11 + 4q = -14 + 30q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-30q' to each side of the equation. 11 + 4q + -30q = -14 + 30q + -30q Combine like terms: 4q + -30q = -26q 11 + -26q = -14 + 30q + -30q Combine like terms: 30q + -30q = 0 11 + -26q = -14 + 0 11 + -26q = -14 Add '-11' to each side of the equation. 11 + -11 + -26q = -14 + -11 Combine like terms: 11 + -11 = 0 0 + -26q = -14 + -11 -26q = -14 + -11 Combine like terms: -14 + -11 = -25 -26q = -25 Divide each side by '-26'. q = 0.9615384615 Simplifying q = 0.9615384615
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