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Simplifying 52(n + -3) + 4(n + 6) = 0 Reorder the terms: 52(-3 + n) + 4(n + 6) = 0 (-3 * 52 + n * 52) + 4(n + 6) = 0 (-156 + 52n) + 4(n + 6) = 0 Reorder the terms: -156 + 52n + 4(6 + n) = 0 -156 + 52n + (6 * 4 + n * 4) = 0 -156 + 52n + (24 + 4n) = 0 Reorder the terms: -156 + 24 + 52n + 4n = 0 Combine like terms: -156 + 24 = -132 -132 + 52n + 4n = 0 Combine like terms: 52n + 4n = 56n -132 + 56n = 0 Solving -132 + 56n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '132' to each side of the equation. -132 + 132 + 56n = 0 + 132 Combine like terms: -132 + 132 = 0 0 + 56n = 0 + 132 56n = 0 + 132 Combine like terms: 0 + 132 = 132 56n = 132 Divide each side by '56'. n = 2.357142857 Simplifying n = 2.357142857
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