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Simplifying -5n + 2 = -4n + -12 Reorder the terms: 2 + -5n = -4n + -12 Reorder the terms: 2 + -5n = -12 + -4n Solving 2 + -5n = -12 + -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. 2 + -5n + 4n = -12 + -4n + 4n Combine like terms: -5n + 4n = -1n 2 + -1n = -12 + -4n + 4n Combine like terms: -4n + 4n = 0 2 + -1n = -12 + 0 2 + -1n = -12 Add '-2' to each side of the equation. 2 + -2 + -1n = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = -12 + -2 -1n = -12 + -2 Combine like terms: -12 + -2 = -14 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14
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