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Simplifying 5n + -6 + -2 = 13 + n + -4 + 7 Reorder the terms: -6 + -2 + 5n = 13 + n + -4 + 7 Combine like terms: -6 + -2 = -8 -8 + 5n = 13 + n + -4 + 7 Reorder the terms: -8 + 5n = 13 + -4 + 7 + n Combine like terms: 13 + -4 = 9 -8 + 5n = 9 + 7 + n Combine like terms: 9 + 7 = 16 -8 + 5n = 16 + n Solving -8 + 5n = 16 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -8 + 5n + -1n = 16 + n + -1n Combine like terms: 5n + -1n = 4n -8 + 4n = 16 + n + -1n Combine like terms: n + -1n = 0 -8 + 4n = 16 + 0 -8 + 4n = 16 Add '8' to each side of the equation. -8 + 8 + 4n = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 16 + 8 4n = 16 + 8 Combine like terms: 16 + 8 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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