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Simplifying 1000 = n + -1(10n + 150) Reorder the terms: 1000 = n + -1(150 + 10n) 1000 = n + (150 * -1 + 10n * -1) 1000 = n + (-150 + -10n) Reorder the terms: 1000 = -150 + n + -10n Combine like terms: n + -10n = -9n 1000 = -150 + -9n Solving 1000 = -150 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 1000 + 9n = -150 + -9n + 9n Combine like terms: -9n + 9n = 0 1000 + 9n = -150 + 0 1000 + 9n = -150 Add '-1000' to each side of the equation. 1000 + -1000 + 9n = -150 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 9n = -150 + -1000 9n = -150 + -1000 Combine like terms: -150 + -1000 = -1150 9n = -1150 Divide each side by '9'. n = -127.7777778 Simplifying n = -127.7777778
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