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Simplifying 5(n + 2) = 8(n + -11) Reorder the terms: 5(2 + n) = 8(n + -11) (2 * 5 + n * 5) = 8(n + -11) (10 + 5n) = 8(n + -11) Reorder the terms: 10 + 5n = 8(-11 + n) 10 + 5n = (-11 * 8 + n * 8) 10 + 5n = (-88 + 8n) Solving 10 + 5n = -88 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 10 + 5n + -8n = -88 + 8n + -8n Combine like terms: 5n + -8n = -3n 10 + -3n = -88 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -3n = -88 + 0 10 + -3n = -88 Add '-10' to each side of the equation. 10 + -10 + -3n = -88 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = -88 + -10 -3n = -88 + -10 Combine like terms: -88 + -10 = -98 -3n = -98 Divide each side by '-3'. n = 32.66666667 Simplifying n = 32.66666667
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