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Simplifying 2(2q + -5) = q + 11 Reorder the terms: 2(-5 + 2q) = q + 11 (-5 * 2 + 2q * 2) = q + 11 (-10 + 4q) = q + 11 Reorder the terms: -10 + 4q = 11 + q Solving -10 + 4q = 11 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -10 + 4q + -1q = 11 + q + -1q Combine like terms: 4q + -1q = 3q -10 + 3q = 11 + q + -1q Combine like terms: q + -1q = 0 -10 + 3q = 11 + 0 -10 + 3q = 11 Add '10' to each side of the equation. -10 + 10 + 3q = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 3q = 11 + 10 3q = 11 + 10 Combine like terms: 11 + 10 = 21 3q = 21 Divide each side by '3'. q = 7 Simplifying q = 7
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