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Simplifying -8n + -8(-8 + 7n) = 6 + -6n -8n + (-8 * -8 + 7n * -8) = 6 + -6n -8n + (64 + -56n) = 6 + -6n Reorder the terms: 64 + -8n + -56n = 6 + -6n Combine like terms: -8n + -56n = -64n 64 + -64n = 6 + -6n Solving 64 + -64n = 6 + -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. 64 + -64n + 6n = 6 + -6n + 6n Combine like terms: -64n + 6n = -58n 64 + -58n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 64 + -58n = 6 + 0 64 + -58n = 6 Add '-64' to each side of the equation. 64 + -64 + -58n = 6 + -64 Combine like terms: 64 + -64 = 0 0 + -58n = 6 + -64 -58n = 6 + -64 Combine like terms: 6 + -64 = -58 -58n = -58 Divide each side by '-58'. n = 1 Simplifying n = 1
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