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Simplifying 2(q + -1) = 3(q + 11) Reorder the terms: 2(-1 + q) = 3(q + 11) (-1 * 2 + q * 2) = 3(q + 11) (-2 + 2q) = 3(q + 11) Reorder the terms: -2 + 2q = 3(11 + q) -2 + 2q = (11 * 3 + q * 3) -2 + 2q = (33 + 3q) Solving -2 + 2q = 33 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -2 + 2q + -3q = 33 + 3q + -3q Combine like terms: 2q + -3q = -1q -2 + -1q = 33 + 3q + -3q Combine like terms: 3q + -3q = 0 -2 + -1q = 33 + 0 -2 + -1q = 33 Add '2' to each side of the equation. -2 + 2 + -1q = 33 + 2 Combine like terms: -2 + 2 = 0 0 + -1q = 33 + 2 -1q = 33 + 2 Combine like terms: 33 + 2 = 35 -1q = 35 Divide each side by '-1'. q = -35 Simplifying q = -35
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