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Simplifying -8(n + 3) + 28 = -5n + -14 Reorder the terms: -8(3 + n) + 28 = -5n + -14 (3 * -8 + n * -8) + 28 = -5n + -14 (-24 + -8n) + 28 = -5n + -14 Reorder the terms: -24 + 28 + -8n = -5n + -14 Combine like terms: -24 + 28 = 4 4 + -8n = -5n + -14 Reorder the terms: 4 + -8n = -14 + -5n Solving 4 + -8n = -14 + -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. 4 + -8n + 5n = -14 + -5n + 5n Combine like terms: -8n + 5n = -3n 4 + -3n = -14 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + -3n = -14 + 0 4 + -3n = -14 Add '-4' to each side of the equation. 4 + -4 + -3n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = -14 + -4 -3n = -14 + -4 Combine like terms: -14 + -4 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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