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Simplifying -8n + -13 = -2(2 + -3n) + 5 Reorder the terms: -13 + -8n = -2(2 + -3n) + 5 -13 + -8n = (2 * -2 + -3n * -2) + 5 -13 + -8n = (-4 + 6n) + 5 Reorder the terms: -13 + -8n = -4 + 5 + 6n Combine like terms: -4 + 5 = 1 -13 + -8n = 1 + 6n Solving -13 + -8n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -13 + -8n + -6n = 1 + 6n + -6n Combine like terms: -8n + -6n = -14n -13 + -14n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 -13 + -14n = 1 + 0 -13 + -14n = 1 Add '13' to each side of the equation. -13 + 13 + -14n = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -14n = 1 + 13 -14n = 1 + 13 Combine like terms: 1 + 13 = 14 -14n = 14 Divide each side by '-14'. n = -1 Simplifying n = -1
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