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