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Simplifying -242 = 8 + -5(1 + -7n) -242 = 8 + (1 * -5 + -7n * -5) -242 = 8 + (-5 + 35n) Combine like terms: 8 + -5 = 3 -242 = 3 + 35n Solving -242 = 3 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -242 + -35n = 3 + 35n + -35n Combine like terms: 35n + -35n = 0 -242 + -35n = 3 + 0 -242 + -35n = 3 Add '242' to each side of the equation. -242 + 242 + -35n = 3 + 242 Combine like terms: -242 + 242 = 0 0 + -35n = 3 + 242 -35n = 3 + 242 Combine like terms: 3 + 242 = 245 -35n = 245 Divide each side by '-35'. n = -7 Simplifying n = -7
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