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Simplifying (q + -12) * 3 + -5q = 2 Reorder the terms: (-12 + q) * 3 + -5q = 2 Reorder the terms for easier multiplication: 3(-12 + q) + -5q = 2 (-12 * 3 + q * 3) + -5q = 2 (-36 + 3q) + -5q = 2 Combine like terms: 3q + -5q = -2q -36 + -2q = 2 Solving -36 + -2q = 2 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 = 2 + 36 Combine like terms: -36 + 36 = 0 0 + -2q = 2 + 36 -2q = 2 + 36 Combine like terms: 2 + 36 = 38 -2q = 38 Divide each side by '-2'. q = -19 Simplifying q = -19
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