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Simplifying 12 + 5n = n + -7 + -1 Reorder the terms: 12 + 5n = -7 + -1 + n Combine like terms: -7 + -1 = -8 12 + 5n = -8 + n Solving 12 + 5n = -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. 12 + 5n + -1n = -8 + n + -1n Combine like terms: 5n + -1n = 4n 12 + 4n = -8 + n + -1n Combine like terms: n + -1n = 0 12 + 4n = -8 + 0 12 + 4n = -8 Add '-12' to each side of the equation. 12 + -12 + 4n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = -8 + -12 4n = -8 + -12 Combine like terms: -8 + -12 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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