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Simplifying 7(1 + -2n) = -7n + -14 (1 * 7 + -2n * 7) = -7n + -14 (7 + -14n) = -7n + -14 Reorder the terms: 7 + -14n = -14 + -7n Solving 7 + -14n = -14 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 7 + -14n + 7n = -14 + -7n + 7n Combine like terms: -14n + 7n = -7n 7 + -7n = -14 + -7n + 7n Combine like terms: -7n + 7n = 0 7 + -7n = -14 + 0 7 + -7n = -14 Add '-7' to each side of the equation. 7 + -7 + -7n = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -7n = -14 + -7 -7n = -14 + -7 Combine like terms: -14 + -7 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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