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Simplifying -6 + -1n = 8 + n + -4 Reorder the terms: -6 + -1n = 8 + -4 + n Combine like terms: 8 + -4 = 4 -6 + -1n = 4 + n Solving -6 + -1n = 4 + 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. -6 + -1n + -1n = 4 + n + -1n Combine like terms: -1n + -1n = -2n -6 + -2n = 4 + n + -1n Combine like terms: n + -1n = 0 -6 + -2n = 4 + 0 -6 + -2n = 4 Add '6' to each side of the equation. -6 + 6 + -2n = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 4 + 6 -2n = 4 + 6 Combine like terms: 4 + 6 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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