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Simplifying (q + -7) * 2 = 12 Reorder the terms: (-7 + q) * 2 = 12 Reorder the terms for easier multiplication: 2(-7 + q) = 12 (-7 * 2 + q * 2) = 12 (-14 + 2q) = 12 Solving -14 + 2q = 12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2q = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2q = 12 + 14 2q = 12 + 14 Combine like terms: 12 + 14 = 26 2q = 26 Divide each side by '2'. q = 13 Simplifying q = 13
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