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Simplifying 12(n + -3) + 4(n + -13) = 0 Reorder the terms: 12(-3 + n) + 4(n + -13) = 0 (-3 * 12 + n * 12) + 4(n + -13) = 0 (-36 + 12n) + 4(n + -13) = 0 Reorder the terms: -36 + 12n + 4(-13 + n) = 0 -36 + 12n + (-13 * 4 + n * 4) = 0 -36 + 12n + (-52 + 4n) = 0 Reorder the terms: -36 + -52 + 12n + 4n = 0 Combine like terms: -36 + -52 = -88 -88 + 12n + 4n = 0 Combine like terms: 12n + 4n = 16n -88 + 16n = 0 Solving -88 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 16n = 0 + 88 Combine like terms: -88 + 88 = 0 0 + 16n = 0 + 88 16n = 0 + 88 Combine like terms: 0 + 88 = 88 16n = 88 Divide each side by '16'. n = 5.5 Simplifying n = 5.5
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