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Simplifying 13 + -3n + 10 = 5(n + -11) + -6 Reorder the terms: 13 + 10 + -3n = 5(n + -11) + -6 Combine like terms: 13 + 10 = 23 23 + -3n = 5(n + -11) + -6 Reorder the terms: 23 + -3n = 5(-11 + n) + -6 23 + -3n = (-11 * 5 + n * 5) + -6 23 + -3n = (-55 + 5n) + -6 Reorder the terms: 23 + -3n = -55 + -6 + 5n Combine like terms: -55 + -6 = -61 23 + -3n = -61 + 5n Solving 23 + -3n = -61 + 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. 23 + -3n + -5n = -61 + 5n + -5n Combine like terms: -3n + -5n = -8n 23 + -8n = -61 + 5n + -5n Combine like terms: 5n + -5n = 0 23 + -8n = -61 + 0 23 + -8n = -61 Add '-23' to each side of the equation. 23 + -23 + -8n = -61 + -23 Combine like terms: 23 + -23 = 0 0 + -8n = -61 + -23 -8n = -61 + -23 Combine like terms: -61 + -23 = -84 -8n = -84 Divide each side by '-8'. n = 10.5 Simplifying n = 10.5
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