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Simplifying -5 + 4n + 2 + -4 = n + 8 Reorder the terms: -5 + 2 + -4 + 4n = n + 8 Combine like terms: -5 + 2 = -3 -3 + -4 + 4n = n + 8 Combine like terms: -3 + -4 = -7 -7 + 4n = n + 8 Reorder the terms: -7 + 4n = 8 + n Solving -7 + 4n = 8 + 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. -7 + 4n + -1n = 8 + n + -1n Combine like terms: 4n + -1n = 3n -7 + 3n = 8 + n + -1n Combine like terms: n + -1n = 0 -7 + 3n = 8 + 0 -7 + 3n = 8 Add '7' to each side of the equation. -7 + 7 + 3n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 8 + 7 3n = 8 + 7 Combine like terms: 8 + 7 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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