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Simplifying -13 + -5n = 5(1 + -4n) + -3n -13 + -5n = (1 * 5 + -4n * 5) + -3n -13 + -5n = (5 + -20n) + -3n Combine like terms: -20n + -3n = -23n -13 + -5n = 5 + -23n Solving -13 + -5n = 5 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -13 + -5n + 23n = 5 + -23n + 23n Combine like terms: -5n + 23n = 18n -13 + 18n = 5 + -23n + 23n Combine like terms: -23n + 23n = 0 -13 + 18n = 5 + 0 -13 + 18n = 5 Add '13' to each side of the equation. -13 + 13 + 18n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 18n = 5 + 13 18n = 5 + 13 Combine like terms: 5 + 13 = 18 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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