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Simplifying 3(q + -2) + 2 = 5q + -7 + -1q Reorder the terms: 3(-2 + q) + 2 = 5q + -7 + -1q (-2 * 3 + q * 3) + 2 = 5q + -7 + -1q (-6 + 3q) + 2 = 5q + -7 + -1q Reorder the terms: -6 + 2 + 3q = 5q + -7 + -1q Combine like terms: -6 + 2 = -4 -4 + 3q = 5q + -7 + -1q Reorder the terms: -4 + 3q = -7 + 5q + -1q Combine like terms: 5q + -1q = 4q -4 + 3q = -7 + 4q Solving -4 + 3q = -7 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -4 + 3q + -4q = -7 + 4q + -4q Combine like terms: 3q + -4q = -1q -4 + -1q = -7 + 4q + -4q Combine like terms: 4q + -4q = 0 -4 + -1q = -7 + 0 -4 + -1q = -7 Add '4' to each side of the equation. -4 + 4 + -1q = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -1q = -7 + 4 -1q = -7 + 4 Combine like terms: -7 + 4 = -3 -1q = -3 Divide each side by '-1'. q = 3 Simplifying q = 3
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