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Simplifying 8(n + -5) = 6n + -18 Reorder the terms: 8(-5 + n) = 6n + -18 (-5 * 8 + n * 8) = 6n + -18 (-40 + 8n) = 6n + -18 Reorder the terms: -40 + 8n = -18 + 6n Solving -40 + 8n = -18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -40 + 8n + -6n = -18 + 6n + -6n Combine like terms: 8n + -6n = 2n -40 + 2n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 -40 + 2n = -18 + 0 -40 + 2n = -18 Add '40' to each side of the equation. -40 + 40 + 2n = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 2n = -18 + 40 2n = -18 + 40 Combine like terms: -18 + 40 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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