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Simplifying 2(q + -51) + 66 = -22 Reorder the terms: 2(-51 + q) + 66 = -22 (-51 * 2 + q * 2) + 66 = -22 (-102 + 2q) + 66 = -22 Reorder the terms: -102 + 66 + 2q = -22 Combine like terms: -102 + 66 = -36 -36 + 2q = -22 Solving -36 + 2q = -22 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 2q = -22 + 36 Combine like terms: -36 + 36 = 0 0 + 2q = -22 + 36 2q = -22 + 36 Combine like terms: -22 + 36 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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