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Simplifying -2n + 5 + -6n = 1 + -7n Reorder the terms: 5 + -2n + -6n = 1 + -7n Combine like terms: -2n + -6n = -8n 5 + -8n = 1 + -7n Solving 5 + -8n = 1 + -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. 5 + -8n + 7n = 1 + -7n + 7n Combine like terms: -8n + 7n = -1n 5 + -1n = 1 + -7n + 7n Combine like terms: -7n + 7n = 0 5 + -1n = 1 + 0 5 + -1n = 1 Add '-5' to each side of the equation. 5 + -5 + -1n = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 1 + -5 -1n = 1 + -5 Combine like terms: 1 + -5 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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