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Simplifying 3[7 + -1(n + 5)] + 19 = 5(3 + -1n) Reorder the terms: 3[7 + -1(5 + n)] + 19 = 5(3 + -1n) 3[7 + (5 * -1 + n * -1)] + 19 = 5(3 + -1n) 3[7 + (-5 + -1n)] + 19 = 5(3 + -1n) Combine like terms: 7 + -5 = 2 3[2 + -1n] + 19 = 5(3 + -1n) [2 * 3 + -1n * 3] + 19 = 5(3 + -1n) [6 + -3n] + 19 = 5(3 + -1n) Reorder the terms: 6 + 19 + -3n = 5(3 + -1n) Combine like terms: 6 + 19 = 25 25 + -3n = 5(3 + -1n) 25 + -3n = (3 * 5 + -1n * 5) 25 + -3n = (15 + -5n) Solving 25 + -3n = 15 + -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. 25 + -3n + 5n = 15 + -5n + 5n Combine like terms: -3n + 5n = 2n 25 + 2n = 15 + -5n + 5n Combine like terms: -5n + 5n = 0 25 + 2n = 15 + 0 25 + 2n = 15 Add '-25' to each side of the equation. 25 + -25 + 2n = 15 + -25 Combine like terms: 25 + -25 = 0 0 + 2n = 15 + -25 2n = 15 + -25 Combine like terms: 15 + -25 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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