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Simplifying 7(n + -2) = -10 + 8n Reorder the terms: 7(-2 + n) = -10 + 8n (-2 * 7 + n * 7) = -10 + 8n (-14 + 7n) = -10 + 8n Solving -14 + 7n = -10 + 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 = -10 + 8n + -8n Combine like terms: 7n + -8n = -1n -14 + -1n = -10 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + -1n = -10 + 0 -14 + -1n = -10 Add '14' to each side of the equation. -14 + 14 + -1n = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -1n = -10 + 14 -1n = -10 + 14 Combine like terms: -10 + 14 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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