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Simplifying q + -5 + -1(-2) = 7 + -1q Multiply -1 * -2 q + -5 + 2 = 7 + -1q Reorder the terms: -5 + 2 + q = 7 + -1q Combine like terms: -5 + 2 = -3 -3 + q = 7 + -1q Solving -3 + q = 7 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -3 + q + q = 7 + -1q + q Combine like terms: q + q = 2q -3 + 2q = 7 + -1q + q Combine like terms: -1q + q = 0 -3 + 2q = 7 + 0 -3 + 2q = 7 Add '3' to each side of the equation. -3 + 3 + 2q = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2q = 7 + 3 2q = 7 + 3 Combine like terms: 7 + 3 = 10 2q = 10 Divide each side by '2'. q = 5 Simplifying q = 5
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