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Simplifying 7q + 11 = 10q + -10 Reorder the terms: 11 + 7q = 10q + -10 Reorder the terms: 11 + 7q = -10 + 10q Solving 11 + 7q = -10 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 11 + 7q + -10q = -10 + 10q + -10q Combine like terms: 7q + -10q = -3q 11 + -3q = -10 + 10q + -10q Combine like terms: 10q + -10q = 0 11 + -3q = -10 + 0 11 + -3q = -10 Add '-11' to each side of the equation. 11 + -11 + -3q = -10 + -11 Combine like terms: 11 + -11 = 0 0 + -3q = -10 + -11 -3q = -10 + -11 Combine like terms: -10 + -11 = -21 -3q = -21 Divide each side by '-3'. q = 7 Simplifying q = 7
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