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Simplifying -1(3n + -11) + -1(2 + 7n) = n + 4 + 5 Reorder the terms: -1(-11 + 3n) + -1(2 + 7n) = n + 4 + 5 (-11 * -1 + 3n * -1) + -1(2 + 7n) = n + 4 + 5 (11 + -3n) + -1(2 + 7n) = n + 4 + 5 11 + -3n + (2 * -1 + 7n * -1) = n + 4 + 5 11 + -3n + (-2 + -7n) = n + 4 + 5 Reorder the terms: 11 + -2 + -3n + -7n = n + 4 + 5 Combine like terms: 11 + -2 = 9 9 + -3n + -7n = n + 4 + 5 Combine like terms: -3n + -7n = -10n 9 + -10n = n + 4 + 5 Reorder the terms: 9 + -10n = 4 + 5 + n Combine like terms: 4 + 5 = 9 9 + -10n = 9 + n Add '-9' to each side of the equation. 9 + -9 + -10n = 9 + -9 + n Combine like terms: 9 + -9 = 0 0 + -10n = 9 + -9 + n -10n = 9 + -9 + n Combine like terms: 9 + -9 = 0 -10n = 0 + n -10n = n Solving -10n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -10n + -1n = n + -1n Combine like terms: -10n + -1n = -11n -11n = n + -1n Combine like terms: n + -1n = 0 -11n = 0 Divide each side by '-11'. n = 0 Simplifying n = 0
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