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Simplifying 12 + 6n = 6 + 8(-8n + -8) Reorder the terms: 12 + 6n = 6 + 8(-8 + -8n) 12 + 6n = 6 + (-8 * 8 + -8n * 8) 12 + 6n = 6 + (-64 + -64n) Combine like terms: 6 + -64 = -58 12 + 6n = -58 + -64n Solving 12 + 6n = -58 + -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. 12 + 6n + 64n = -58 + -64n + 64n Combine like terms: 6n + 64n = 70n 12 + 70n = -58 + -64n + 64n Combine like terms: -64n + 64n = 0 12 + 70n = -58 + 0 12 + 70n = -58 Add '-12' to each side of the equation. 12 + -12 + 70n = -58 + -12 Combine like terms: 12 + -12 = 0 0 + 70n = -58 + -12 70n = -58 + -12 Combine like terms: -58 + -12 = -70 70n = -70 Divide each side by '70'. n = -1 Simplifying n = -1
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