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Simplifying -273 = 5n + -7(6 + -4n) -273 = 5n + (6 * -7 + -4n * -7) -273 = 5n + (-42 + 28n) Reorder the terms: -273 = -42 + 5n + 28n Combine like terms: 5n + 28n = 33n -273 = -42 + 33n Solving -273 = -42 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. -273 + -33n = -42 + 33n + -33n Combine like terms: 33n + -33n = 0 -273 + -33n = -42 + 0 -273 + -33n = -42 Add '273' to each side of the equation. -273 + 273 + -33n = -42 + 273 Combine like terms: -273 + 273 = 0 0 + -33n = -42 + 273 -33n = -42 + 273 Combine like terms: -42 + 273 = 231 -33n = 231 Divide each side by '-33'. n = -7 Simplifying n = -7
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