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Simplifying -36 + 2n = 8(3 + 8n) + -2n -36 + 2n = (3 * 8 + 8n * 8) + -2n -36 + 2n = (24 + 64n) + -2n Combine like terms: 64n + -2n = 62n -36 + 2n = 24 + 62n Solving -36 + 2n = 24 + 62n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-62n' to each side of the equation. -36 + 2n + -62n = 24 + 62n + -62n Combine like terms: 2n + -62n = -60n -36 + -60n = 24 + 62n + -62n Combine like terms: 62n + -62n = 0 -36 + -60n = 24 + 0 -36 + -60n = 24 Add '36' to each side of the equation. -36 + 36 + -60n = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -60n = 24 + 36 -60n = 24 + 36 Combine like terms: 24 + 36 = 60 -60n = 60 Divide each side by '-60'. n = -1 Simplifying n = -1
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