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Simplifying -26 + 2n = -8(8n + -5) Reorder the terms: -26 + 2n = -8(-5 + 8n) -26 + 2n = (-5 * -8 + 8n * -8) -26 + 2n = (40 + -64n) Solving -26 + 2n = 40 + -64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '64n' to each side of the equation. -26 + 2n + 64n = 40 + -64n + 64n Combine like terms: 2n + 64n = 66n -26 + 66n = 40 + -64n + 64n Combine like terms: -64n + 64n = 0 -26 + 66n = 40 + 0 -26 + 66n = 40 Add '26' to each side of the equation. -26 + 26 + 66n = 40 + 26 Combine like terms: -26 + 26 = 0 0 + 66n = 40 + 26 66n = 40 + 26 Combine like terms: 40 + 26 = 66 66n = 66 Divide each side by '66'. n = 1 Simplifying n = 1
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