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Simplifying -8n + 10 = -7n + -2 Reorder the terms: 10 + -8n = -7n + -2 Reorder the terms: 10 + -8n = -2 + -7n Solving 10 + -8n = -2 + -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. 10 + -8n + 7n = -2 + -7n + 7n Combine like terms: -8n + 7n = -1n 10 + -1n = -2 + -7n + 7n Combine like terms: -7n + 7n = 0 10 + -1n = -2 + 0 10 + -1n = -2 Add '-10' to each side of the equation. 10 + -10 + -1n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = -2 + -10 -1n = -2 + -10 Combine like terms: -2 + -10 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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