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Simplifying 1 = 7 + -2(7q + 1) Reorder the terms: 1 = 7 + -2(1 + 7q) 1 = 7 + (1 * -2 + 7q * -2) 1 = 7 + (-2 + -14q) Combine like terms: 7 + -2 = 5 1 = 5 + -14q Solving 1 = 5 + -14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '14q' to each side of the equation. 1 + 14q = 5 + -14q + 14q Combine like terms: -14q + 14q = 0 1 + 14q = 5 + 0 1 + 14q = 5 Add '-1' to each side of the equation. 1 + -1 + 14q = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 14q = 5 + -1 14q = 5 + -1 Combine like terms: 5 + -1 = 4 14q = 4 Divide each side by '14'. q = 0.2857142857 Simplifying q = 0.2857142857
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