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Simplifying -1 = 2(q + 7) + -1 Reorder the terms: -1 = 2(7 + q) + -1 -1 = (7 * 2 + q * 2) + -1 -1 = (14 + 2q) + -1 Reorder the terms: -1 = 14 + -1 + 2q Combine like terms: 14 + -1 = 13 -1 = 13 + 2q Solving -1 = 13 + 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. -1 + -2q = 13 + 2q + -2q Combine like terms: 2q + -2q = 0 -1 + -2q = 13 + 0 -1 + -2q = 13 Add '1' to each side of the equation. -1 + 1 + -2q = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -2q = 13 + 1 -2q = 13 + 1 Combine like terms: 13 + 1 = 14 -2q = 14 Divide each side by '-2'. q = -7 Simplifying q = -7
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