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Simplifying n + 27 = -3n + -1(-15) Reorder the terms: 27 + n = -3n + -1(-15) Multiply -1 * -15 27 + n = -3n + 15 Reorder the terms: 27 + n = 15 + -3n Solving 27 + n = 15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 27 + n + 3n = 15 + -3n + 3n Combine like terms: n + 3n = 4n 27 + 4n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 27 + 4n = 15 + 0 27 + 4n = 15 Add '-27' to each side of the equation. 27 + -27 + 4n = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 4n = 15 + -27 4n = 15 + -27 Combine like terms: 15 + -27 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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