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Simplifying 8(n + -5) = -1n + 23 Reorder the terms: 8(-5 + n) = -1n + 23 (-5 * 8 + n * 8) = -1n + 23 (-40 + 8n) = -1n + 23 Reorder the terms: -40 + 8n = 23 + -1n Solving -40 + 8n = 23 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -40 + 8n + n = 23 + -1n + n Combine like terms: 8n + n = 9n -40 + 9n = 23 + -1n + n Combine like terms: -1n + n = 0 -40 + 9n = 23 + 0 -40 + 9n = 23 Add '40' to each side of the equation. -40 + 40 + 9n = 23 + 40 Combine like terms: -40 + 40 = 0 0 + 9n = 23 + 40 9n = 23 + 40 Combine like terms: 23 + 40 = 63 9n = 63 Divide each side by '9'. n = 7 Simplifying n = 7
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