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Simplifying n + 7 + -1n + -12 = n + -6 + 8 Reorder the terms: 7 + -12 + n + -1n = n + -6 + 8 Combine like terms: 7 + -12 = -5 -5 + n + -1n = n + -6 + 8 Combine like terms: n + -1n = 0 -5 + 0 = n + -6 + 8 -5 = n + -6 + 8 Reorder the terms: -5 = -6 + 8 + n Combine like terms: -6 + 8 = 2 -5 = 2 + n Solving -5 = 2 + 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. -5 + -1n = 2 + n + -1n Combine like terms: n + -1n = 0 -5 + -1n = 2 + 0 -5 + -1n = 2 Add '5' to each side of the equation. -5 + 5 + -1n = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 2 + 5 -1n = 2 + 5 Combine like terms: 2 + 5 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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