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Simplifying 3(n + 6) + -1(7n + -4) = -5n Reorder the terms: 3(6 + n) + -1(7n + -4) = -5n (6 * 3 + n * 3) + -1(7n + -4) = -5n (18 + 3n) + -1(7n + -4) = -5n Reorder the terms: 18 + 3n + -1(-4 + 7n) = -5n 18 + 3n + (-4 * -1 + 7n * -1) = -5n 18 + 3n + (4 + -7n) = -5n Reorder the terms: 18 + 4 + 3n + -7n = -5n Combine like terms: 18 + 4 = 22 22 + 3n + -7n = -5n Combine like terms: 3n + -7n = -4n 22 + -4n = -5n Solving 22 + -4n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 22 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 22 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 22 + 1n = 0 Add '-22' to each side of the equation. 22 + -22 + 1n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1n = 0 + -22 1n = 0 + -22 Combine like terms: 0 + -22 = -22 1n = -22 Divide each side by '1'. n = -22 Simplifying n = -22
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