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Simplifying -1(q + 14) = 2q + 1 Reorder the terms: -1(14 + q) = 2q + 1 (14 * -1 + q * -1) = 2q + 1 (-14 + -1q) = 2q + 1 Reorder the terms: -14 + -1q = 1 + 2q Solving -14 + -1q = 1 + 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. -14 + -1q + -2q = 1 + 2q + -2q Combine like terms: -1q + -2q = -3q -14 + -3q = 1 + 2q + -2q Combine like terms: 2q + -2q = 0 -14 + -3q = 1 + 0 -14 + -3q = 1 Add '14' to each side of the equation. -14 + 14 + -3q = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3q = 1 + 14 -3q = 1 + 14 Combine like terms: 1 + 14 = 15 -3q = 15 Divide each side by '-3'. q = -5 Simplifying q = -5
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