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Simplifying -8(-1n + 1) = 11(n + 5) Reorder the terms: -8(1 + -1n) = 11(n + 5) (1 * -8 + -1n * -8) = 11(n + 5) (-8 + 8n) = 11(n + 5) Reorder the terms: -8 + 8n = 11(5 + n) -8 + 8n = (5 * 11 + n * 11) -8 + 8n = (55 + 11n) Solving -8 + 8n = 55 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -8 + 8n + -11n = 55 + 11n + -11n Combine like terms: 8n + -11n = -3n -8 + -3n = 55 + 11n + -11n Combine like terms: 11n + -11n = 0 -8 + -3n = 55 + 0 -8 + -3n = 55 Add '8' to each side of the equation. -8 + 8 + -3n = 55 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = 55 + 8 -3n = 55 + 8 Combine like terms: 55 + 8 = 63 -3n = 63 Divide each side by '-3'. n = -21 Simplifying n = -21
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