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Simplifying 49 = -7(n + 1) Reorder the terms: 49 = -7(1 + n) 49 = (1 * -7 + n * -7) 49 = (-7 + -7n) Solving 49 = -7 + -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. 49 + 7n = -7 + -7n + 7n Combine like terms: -7n + 7n = 0 49 + 7n = -7 + 0 49 + 7n = -7 Add '-49' to each side of the equation. 49 + -49 + 7n = -7 + -49 Combine like terms: 49 + -49 = 0 0 + 7n = -7 + -49 7n = -7 + -49 Combine like terms: -7 + -49 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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