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Simplifying -8(n + -5) = 2(4n + 11) Reorder the terms: -8(-5 + n) = 2(4n + 11) (-5 * -8 + n * -8) = 2(4n + 11) (40 + -8n) = 2(4n + 11) Reorder the terms: 40 + -8n = 2(11 + 4n) 40 + -8n = (11 * 2 + 4n * 2) 40 + -8n = (22 + 8n) Solving 40 + -8n = 22 + 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. 40 + -8n + -8n = 22 + 8n + -8n Combine like terms: -8n + -8n = -16n 40 + -16n = 22 + 8n + -8n Combine like terms: 8n + -8n = 0 40 + -16n = 22 + 0 40 + -16n = 22 Add '-40' to each side of the equation. 40 + -40 + -16n = 22 + -40 Combine like terms: 40 + -40 = 0 0 + -16n = 22 + -40 -16n = 22 + -40 Combine like terms: 22 + -40 = -18 -16n = -18 Divide each side by '-16'. n = 1.125 Simplifying n = 1.125
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