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Simplifying 8(-8n + -5) + -1n = 27 + 2n Reorder the terms: 8(-5 + -8n) + -1n = 27 + 2n (-5 * 8 + -8n * 8) + -1n = 27 + 2n (-40 + -64n) + -1n = 27 + 2n Combine like terms: -64n + -1n = -65n -40 + -65n = 27 + 2n Solving -40 + -65n = 27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -40 + -65n + -2n = 27 + 2n + -2n Combine like terms: -65n + -2n = -67n -40 + -67n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 -40 + -67n = 27 + 0 -40 + -67n = 27 Add '40' to each side of the equation. -40 + 40 + -67n = 27 + 40 Combine like terms: -40 + 40 = 0 0 + -67n = 27 + 40 -67n = 27 + 40 Combine like terms: 27 + 40 = 67 -67n = 67 Divide each side by '-67'. n = -1 Simplifying n = -1
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