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Simplifying 6(2 + 8n) = -7(-7n + -2) (2 * 6 + 8n * 6) = -7(-7n + -2) (12 + 48n) = -7(-7n + -2) Reorder the terms: 12 + 48n = -7(-2 + -7n) 12 + 48n = (-2 * -7 + -7n * -7) 12 + 48n = (14 + 49n) Solving 12 + 48n = 14 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 12 + 48n + -49n = 14 + 49n + -49n Combine like terms: 48n + -49n = -1n 12 + -1n = 14 + 49n + -49n Combine like terms: 49n + -49n = 0 12 + -1n = 14 + 0 12 + -1n = 14 Add '-12' to each side of the equation. 12 + -12 + -1n = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 14 + -12 -1n = 14 + -12 Combine like terms: 14 + -12 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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