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Simplifying 8(n + -3) + -4(n + 12) = -28 Reorder the terms: 8(-3 + n) + -4(n + 12) = -28 (-3 * 8 + n * 8) + -4(n + 12) = -28 (-24 + 8n) + -4(n + 12) = -28 Reorder the terms: -24 + 8n + -4(12 + n) = -28 -24 + 8n + (12 * -4 + n * -4) = -28 -24 + 8n + (-48 + -4n) = -28 Reorder the terms: -24 + -48 + 8n + -4n = -28 Combine like terms: -24 + -48 = -72 -72 + 8n + -4n = -28 Combine like terms: 8n + -4n = 4n -72 + 4n = -28 Solving -72 + 4n = -28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 4n = -28 + 72 Combine like terms: -72 + 72 = 0 0 + 4n = -28 + 72 4n = -28 + 72 Combine like terms: -28 + 72 = 44 4n = 44 Divide each side by '4'. n = 11 Simplifying n = 11
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