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Simplifying 38 + 5n = 8(7 + -1n) + -5n 38 + 5n = (7 * 8 + -1n * 8) + -5n 38 + 5n = (56 + -8n) + -5n Combine like terms: -8n + -5n = -13n 38 + 5n = 56 + -13n Solving 38 + 5n = 56 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 38 + 5n + 13n = 56 + -13n + 13n Combine like terms: 5n + 13n = 18n 38 + 18n = 56 + -13n + 13n Combine like terms: -13n + 13n = 0 38 + 18n = 56 + 0 38 + 18n = 56 Add '-38' to each side of the equation. 38 + -38 + 18n = 56 + -38 Combine like terms: 38 + -38 = 0 0 + 18n = 56 + -38 18n = 56 + -38 Combine like terms: 56 + -38 = 18 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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