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Simplifying 38 + 7n = 8(n + 4) Reorder the terms: 38 + 7n = 8(4 + n) 38 + 7n = (4 * 8 + n * 8) 38 + 7n = (32 + 8n) Solving 38 + 7n = 32 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 38 + 7n + -8n = 32 + 8n + -8n Combine like terms: 7n + -8n = -1n 38 + -1n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 38 + -1n = 32 + 0 38 + -1n = 32 Add '-38' to each side of the equation. 38 + -38 + -1n = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -1n = 32 + -38 -1n = 32 + -38 Combine like terms: 32 + -38 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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