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Simplifying 7n + -1n = -9(-1n + 7) + -1(7 + 10n) Combine like terms: 7n + -1n = 6n 6n = -9(-1n + 7) + -1(7 + 10n) Reorder the terms: 6n = -9(7 + -1n) + -1(7 + 10n) 6n = (7 * -9 + -1n * -9) + -1(7 + 10n) 6n = (-63 + 9n) + -1(7 + 10n) 6n = -63 + 9n + (7 * -1 + 10n * -1) 6n = -63 + 9n + (-7 + -10n) Reorder the terms: 6n = -63 + -7 + 9n + -10n Combine like terms: -63 + -7 = -70 6n = -70 + 9n + -10n Combine like terms: 9n + -10n = -1n 6n = -70 + -1n Solving 6n = -70 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6n + n = -70 + -1n + n Combine like terms: 6n + n = 7n 7n = -70 + -1n + n Combine like terms: -1n + n = 0 7n = -70 + 0 7n = -70 Divide each side by '7'. n = -10 Simplifying n = -10
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