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Simplifying -2 = 7(q + 2) + (2q + -1) Reorder the terms: -2 = 7(2 + q) + (2q + -1) -2 = (2 * 7 + q * 7) + (2q + -1) -2 = (14 + 7q) + (2q + -1) Reorder the terms: -2 = 14 + 7q + (-1 + 2q) Remove parenthesis around (-1 + 2q) -2 = 14 + 7q + -1 + 2q Reorder the terms: -2 = 14 + -1 + 7q + 2q Combine like terms: 14 + -1 = 13 -2 = 13 + 7q + 2q Combine like terms: 7q + 2q = 9q -2 = 13 + 9q Solving -2 = 13 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. -2 + -9q = 13 + 9q + -9q Combine like terms: 9q + -9q = 0 -2 + -9q = 13 + 0 -2 + -9q = 13 Add '2' to each side of the equation. -2 + 2 + -9q = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -9q = 13 + 2 -9q = 13 + 2 Combine like terms: 13 + 2 = 15 -9q = 15 Divide each side by '-9'. q = -1.666666667 Simplifying q = -1.666666667
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