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Simplifying -3(n + -4) + 3(1 + 5n) = n + -3 + 5n Reorder the terms: -3(-4 + n) + 3(1 + 5n) = n + -3 + 5n (-4 * -3 + n * -3) + 3(1 + 5n) = n + -3 + 5n (12 + -3n) + 3(1 + 5n) = n + -3 + 5n 12 + -3n + (1 * 3 + 5n * 3) = n + -3 + 5n 12 + -3n + (3 + 15n) = n + -3 + 5n Reorder the terms: 12 + 3 + -3n + 15n = n + -3 + 5n Combine like terms: 12 + 3 = 15 15 + -3n + 15n = n + -3 + 5n Combine like terms: -3n + 15n = 12n 15 + 12n = n + -3 + 5n Reorder the terms: 15 + 12n = -3 + n + 5n Combine like terms: n + 5n = 6n 15 + 12n = -3 + 6n Solving 15 + 12n = -3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 15 + 12n + -6n = -3 + 6n + -6n Combine like terms: 12n + -6n = 6n 15 + 6n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 15 + 6n = -3 + 0 15 + 6n = -3 Add '-15' to each side of the equation. 15 + -15 + 6n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = -3 + -15 6n = -3 + -15 Combine like terms: -3 + -15 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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