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