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Simplifying 10n + -2(7n + 1) = -1(4n + -9) + n Reorder the terms: 10n + -2(1 + 7n) = -1(4n + -9) + n 10n + (1 * -2 + 7n * -2) = -1(4n + -9) + n 10n + (-2 + -14n) = -1(4n + -9) + n Reorder the terms: -2 + 10n + -14n = -1(4n + -9) + n Combine like terms: 10n + -14n = -4n -2 + -4n = -1(4n + -9) + n Reorder the terms: -2 + -4n = -1(-9 + 4n) + n -2 + -4n = (-9 * -1 + 4n * -1) + n -2 + -4n = (9 + -4n) + n Combine like terms: -4n + n = -3n -2 + -4n = 9 + -3n Solving -2 + -4n = 9 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -2 + -4n + 3n = 9 + -3n + 3n Combine like terms: -4n + 3n = -1n -2 + -1n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 -2 + -1n = 9 + 0 -2 + -1n = 9 Add '2' to each side of the equation. -2 + 2 + -1n = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 9 + 2 -1n = 9 + 2 Combine like terms: 9 + 2 = 11 -1n = 11 Divide each side by '-1'. n = -11 Simplifying n = -11
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