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Simplifying 51 = -3(n + 78) Reorder the terms: 51 = -3(78 + n) 51 = (78 * -3 + n * -3) 51 = (-234 + -3n) Solving 51 = -234 + -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. 51 + 3n = -234 + -3n + 3n Combine like terms: -3n + 3n = 0 51 + 3n = -234 + 0 51 + 3n = -234 Add '-51' to each side of the equation. 51 + -51 + 3n = -234 + -51 Combine like terms: 51 + -51 = 0 0 + 3n = -234 + -51 3n = -234 + -51 Combine like terms: -234 + -51 = -285 3n = -285 Divide each side by '3'. n = -95 Simplifying n = -95
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