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Simplifying 3(q + -2) + 2 = 5q + -7 + -2y Reorder the terms: 3(-2 + q) + 2 = 5q + -7 + -2y (-2 * 3 + q * 3) + 2 = 5q + -7 + -2y (-6 + 3q) + 2 = 5q + -7 + -2y Reorder the terms: -6 + 2 + 3q = 5q + -7 + -2y Combine like terms: -6 + 2 = -4 -4 + 3q = 5q + -7 + -2y Reorder the terms: -4 + 3q = -7 + 5q + -2y Solving -4 + 3q = -7 + 5q + -2y Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -4 + 3q + -5q = -7 + 5q + -5q + -2y Combine like terms: 3q + -5q = -2q -4 + -2q = -7 + 5q + -5q + -2y Combine like terms: 5q + -5q = 0 -4 + -2q = -7 + 0 + -2y -4 + -2q = -7 + -2y Add '4' to each side of the equation. -4 + 4 + -2q = -7 + 4 + -2y Combine like terms: -4 + 4 = 0 0 + -2q = -7 + 4 + -2y -2q = -7 + 4 + -2y Combine like terms: -7 + 4 = -3 -2q = -3 + -2y Divide each side by '-2'. q = 1.5 + y Simplifying q = 1.5 + y
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