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Simplifying 157 = -6(1 + 7n) + -5 157 = (1 * -6 + 7n * -6) + -5 157 = (-6 + -42n) + -5 Reorder the terms: 157 = -6 + -5 + -42n Combine like terms: -6 + -5 = -11 157 = -11 + -42n Solving 157 = -11 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 157 + 42n = -11 + -42n + 42n Combine like terms: -42n + 42n = 0 157 + 42n = -11 + 0 157 + 42n = -11 Add '-157' to each side of the equation. 157 + -157 + 42n = -11 + -157 Combine like terms: 157 + -157 = 0 0 + 42n = -11 + -157 42n = -11 + -157 Combine like terms: -11 + -157 = -168 42n = -168 Divide each side by '42'. n = -4 Simplifying n = -4
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