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Simplifying -13 + -7n = -1(8n + 6) Reorder the terms: -13 + -7n = -1(6 + 8n) -13 + -7n = (6 * -1 + 8n * -1) -13 + -7n = (-6 + -8n) Solving -13 + -7n = -6 + -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. -13 + -7n + 8n = -6 + -8n + 8n Combine like terms: -7n + 8n = 1n -13 + 1n = -6 + -8n + 8n Combine like terms: -8n + 8n = 0 -13 + 1n = -6 + 0 -13 + 1n = -6 Add '13' to each side of the equation. -13 + 13 + 1n = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 1n = -6 + 13 1n = -6 + 13 Combine like terms: -6 + 13 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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