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Simplifying 6 = -4(n + 2) + 7(5 + n) Reorder the terms: 6 = -4(2 + n) + 7(5 + n) 6 = (2 * -4 + n * -4) + 7(5 + n) 6 = (-8 + -4n) + 7(5 + n) 6 = -8 + -4n + (5 * 7 + n * 7) 6 = -8 + -4n + (35 + 7n) Reorder the terms: 6 = -8 + 35 + -4n + 7n Combine like terms: -8 + 35 = 27 6 = 27 + -4n + 7n Combine like terms: -4n + 7n = 3n 6 = 27 + 3n Solving 6 = 27 + 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. 6 + -3n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + -3n = 27 + 0 6 + -3n = 27 Add '-6' to each side of the equation. 6 + -6 + -3n = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = 27 + -6 -3n = 27 + -6 Combine like terms: 27 + -6 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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