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