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Simplifying -8(n + 3) + 28 = -4n + -12 Reorder the terms: -8(3 + n) + 28 = -4n + -12 (3 * -8 + n * -8) + 28 = -4n + -12 (-24 + -8n) + 28 = -4n + -12 Reorder the terms: -24 + 28 + -8n = -4n + -12 Combine like terms: -24 + 28 = 4 4 + -8n = -4n + -12 Reorder the terms: 4 + -8n = -12 + -4n Solving 4 + -8n = -12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + -8n + 4n = -12 + -4n + 4n Combine like terms: -8n + 4n = -4n 4 + -4n = -12 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + -4n = -12 + 0 4 + -4n = -12 Add '-4' to each side of the equation. 4 + -4 + -4n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = -12 + -4 -4n = -12 + -4 Combine like terms: -12 + -4 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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