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Simplifying 42 = -14(n + -11) Reorder the terms: 42 = -14(-11 + n) 42 = (-11 * -14 + n * -14) 42 = (154 + -14n) Solving 42 = 154 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 42 + 14n = 154 + -14n + 14n Combine like terms: -14n + 14n = 0 42 + 14n = 154 + 0 42 + 14n = 154 Add '-42' to each side of the equation. 42 + -42 + 14n = 154 + -42 Combine like terms: 42 + -42 = 0 0 + 14n = 154 + -42 14n = 154 + -42 Combine like terms: 154 + -42 = 112 14n = 112 Divide each side by '14'. n = 8 Simplifying n = 8
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