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Simplifying 8(n + -5) = 8(-1n + 1) Reorder the terms: 8(-5 + n) = 8(-1n + 1) (-5 * 8 + n * 8) = 8(-1n + 1) (-40 + 8n) = 8(-1n + 1) Reorder the terms: -40 + 8n = 8(1 + -1n) -40 + 8n = (1 * 8 + -1n * 8) -40 + 8n = (8 + -8n) Solving -40 + 8n = 8 + -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 = 8 + -8n + 8n Combine like terms: 8n + 8n = 16n -40 + 16n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 -40 + 16n = 8 + 0 -40 + 16n = 8 Add '40' to each side of the equation. -40 + 40 + 16n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 16n = 8 + 40 16n = 8 + 40 Combine like terms: 8 + 40 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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