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Simplifying -14 + 5n = 3 + 8(n + -4) Reorder the terms: -14 + 5n = 3 + 8(-4 + n) -14 + 5n = 3 + (-4 * 8 + n * 8) -14 + 5n = 3 + (-32 + 8n) Combine like terms: 3 + -32 = -29 -14 + 5n = -29 + 8n Solving -14 + 5n = -29 + 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. -14 + 5n + -8n = -29 + 8n + -8n Combine like terms: 5n + -8n = -3n -14 + -3n = -29 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + -3n = -29 + 0 -14 + -3n = -29 Add '14' to each side of the equation. -14 + 14 + -3n = -29 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = -29 + 14 -3n = -29 + 14 Combine like terms: -29 + 14 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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