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Simplifying 8(2n + -5) = (8n + 1) + 7 Reorder the terms: 8(-5 + 2n) = (8n + 1) + 7 (-5 * 8 + 2n * 8) = (8n + 1) + 7 (-40 + 16n) = (8n + 1) + 7 Reorder the terms: -40 + 16n = (1 + 8n) + 7 Remove parenthesis around (1 + 8n) -40 + 16n = 1 + 8n + 7 Reorder the terms: -40 + 16n = 1 + 7 + 8n Combine like terms: 1 + 7 = 8 -40 + 16n = 8 + 8n Solving -40 + 16n = 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 + 16n + -8n = 8 + 8n + -8n Combine like terms: 16n + -8n = 8n -40 + 8n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -40 + 8n = 8 + 0 -40 + 8n = 8 Add '40' to each side of the equation. -40 + 40 + 8n = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 8n = 8 + 40 8n = 8 + 40 Combine like terms: 8 + 40 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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