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