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