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Simplifying 78 = -7(2 + -3n) + -5(4 + n) 78 = (2 * -7 + -3n * -7) + -5(4 + n) 78 = (-14 + 21n) + -5(4 + n) 78 = -14 + 21n + (4 * -5 + n * -5) 78 = -14 + 21n + (-20 + -5n) Reorder the terms: 78 = -14 + -20 + 21n + -5n Combine like terms: -14 + -20 = -34 78 = -34 + 21n + -5n Combine like terms: 21n + -5n = 16n 78 = -34 + 16n Solving 78 = -34 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 78 + -16n = -34 + 16n + -16n Combine like terms: 16n + -16n = 0 78 + -16n = -34 + 0 78 + -16n = -34 Add '-78' to each side of the equation. 78 + -78 + -16n = -34 + -78 Combine like terms: 78 + -78 = 0 0 + -16n = -34 + -78 -16n = -34 + -78 Combine like terms: -34 + -78 = -112 -16n = -112 Divide each side by '-16'. n = 7 Simplifying n = 7
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