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Simplifying 8(n + -5) + -12(n + -2) = 4 Reorder the terms: 8(-5 + n) + -12(n + -2) = 4 (-5 * 8 + n * 8) + -12(n + -2) = 4 (-40 + 8n) + -12(n + -2) = 4 Reorder the terms: -40 + 8n + -12(-2 + n) = 4 -40 + 8n + (-2 * -12 + n * -12) = 4 -40 + 8n + (24 + -12n) = 4 Reorder the terms: -40 + 24 + 8n + -12n = 4 Combine like terms: -40 + 24 = -16 -16 + 8n + -12n = 4 Combine like terms: 8n + -12n = -4n -16 + -4n = 4 Solving -16 + -4n = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -4n = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -4n = 4 + 16 -4n = 4 + 16 Combine like terms: 4 + 16 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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