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Simplifying 5n + 19 = -3(-1n + -8) + n Reorder the terms: 19 + 5n = -3(-1n + -8) + n Reorder the terms: 19 + 5n = -3(-8 + -1n) + n 19 + 5n = (-8 * -3 + -1n * -3) + n 19 + 5n = (24 + 3n) + n Combine like terms: 3n + n = 4n 19 + 5n = 24 + 4n Solving 19 + 5n = 24 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 19 + 5n + -4n = 24 + 4n + -4n Combine like terms: 5n + -4n = 1n 19 + 1n = 24 + 4n + -4n Combine like terms: 4n + -4n = 0 19 + 1n = 24 + 0 19 + 1n = 24 Add '-19' to each side of the equation. 19 + -19 + 1n = 24 + -19 Combine like terms: 19 + -19 = 0 0 + 1n = 24 + -19 1n = 24 + -19 Combine like terms: 24 + -19 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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