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