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Simplifying n + -8 + 2n = 4n + -2 + 3 + -2 Reorder the terms: -8 + n + 2n = 4n + -2 + 3 + -2 Combine like terms: n + 2n = 3n -8 + 3n = 4n + -2 + 3 + -2 Reorder the terms: -8 + 3n = -2 + 3 + -2 + 4n Combine like terms: -2 + 3 = 1 -8 + 3n = 1 + -2 + 4n Combine like terms: 1 + -2 = -1 -8 + 3n = -1 + 4n Solving -8 + 3n = -1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -8 + 3n + -4n = -1 + 4n + -4n Combine like terms: 3n + -4n = -1n -8 + -1n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + -1n = -1 + 0 -8 + -1n = -1 Add '8' to each side of the equation. -8 + 8 + -1n = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = -1 + 8 -1n = -1 + 8 Combine like terms: -1 + 8 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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