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Simplifying -1(-1n + 11) + -6 = -10n + -2(1 + -4n) Reorder the terms: -1(11 + -1n) + -6 = -10n + -2(1 + -4n) (11 * -1 + -1n * -1) + -6 = -10n + -2(1 + -4n) (-11 + 1n) + -6 = -10n + -2(1 + -4n) Reorder the terms: -11 + -6 + 1n = -10n + -2(1 + -4n) Combine like terms: -11 + -6 = -17 -17 + 1n = -10n + -2(1 + -4n) -17 + 1n = -10n + (1 * -2 + -4n * -2) -17 + 1n = -10n + (-2 + 8n) Reorder the terms: -17 + 1n = -2 + -10n + 8n Combine like terms: -10n + 8n = -2n -17 + 1n = -2 + -2n Solving -17 + 1n = -2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -17 + 1n + 2n = -2 + -2n + 2n Combine like terms: 1n + 2n = 3n -17 + 3n = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 -17 + 3n = -2 + 0 -17 + 3n = -2 Add '17' to each side of the equation. -17 + 17 + 3n = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 3n = -2 + 17 3n = -2 + 17 Combine like terms: -2 + 17 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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