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Simplifying -7(n + 2) = 10 + n Reorder the terms: -7(2 + n) = 10 + n (2 * -7 + n * -7) = 10 + n (-14 + -7n) = 10 + n Solving -14 + -7n = 10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -14 + -7n + -1n = 10 + n + -1n Combine like terms: -7n + -1n = -8n -14 + -8n = 10 + n + -1n Combine like terms: n + -1n = 0 -14 + -8n = 10 + 0 -14 + -8n = 10 Add '14' to each side of the equation. -14 + 14 + -8n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -8n = 10 + 14 -8n = 10 + 14 Combine like terms: 10 + 14 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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