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Simplifying 7n + -1 = -1(-8n + 3) Reorder the terms: -1 + 7n = -1(-8n + 3) Reorder the terms: -1 + 7n = -1(3 + -8n) -1 + 7n = (3 * -1 + -8n * -1) -1 + 7n = (-3 + 8n) Solving -1 + 7n = -3 + 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. -1 + 7n + -8n = -3 + 8n + -8n Combine like terms: 7n + -8n = -1n -1 + -1n = -3 + 8n + -8n Combine like terms: 8n + -8n = 0 -1 + -1n = -3 + 0 -1 + -1n = -3 Add '1' to each side of the equation. -1 + 1 + -1n = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = -3 + 1 -1n = -3 + 1 Combine like terms: -3 + 1 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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