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Simplifying 6(n + 4) = 8(n + -5) Reorder the terms: 6(4 + n) = 8(n + -5) (4 * 6 + n * 6) = 8(n + -5) (24 + 6n) = 8(n + -5) Reorder the terms: 24 + 6n = 8(-5 + n) 24 + 6n = (-5 * 8 + n * 8) 24 + 6n = (-40 + 8n) Solving 24 + 6n = -40 + 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. 24 + 6n + -8n = -40 + 8n + -8n Combine like terms: 6n + -8n = -2n 24 + -2n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 24 + -2n = -40 + 0 24 + -2n = -40 Add '-24' to each side of the equation. 24 + -24 + -2n = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -2n = -40 + -24 -2n = -40 + -24 Combine like terms: -40 + -24 = -64 -2n = -64 Divide each side by '-2'. n = 32 Simplifying n = 32
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