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Simplifying 4n + 19 = 6n + -5(n + 1) Reorder the terms: 19 + 4n = 6n + -5(n + 1) Reorder the terms: 19 + 4n = 6n + -5(1 + n) 19 + 4n = 6n + (1 * -5 + n * -5) 19 + 4n = 6n + (-5 + -5n) Reorder the terms: 19 + 4n = -5 + 6n + -5n Combine like terms: 6n + -5n = 1n 19 + 4n = -5 + 1n Solving 19 + 4n = -5 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 19 + 4n + -1n = -5 + 1n + -1n Combine like terms: 4n + -1n = 3n 19 + 3n = -5 + 1n + -1n Combine like terms: 1n + -1n = 0 19 + 3n = -5 + 0 19 + 3n = -5 Add '-19' to each side of the equation. 19 + -19 + 3n = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 3n = -5 + -19 3n = -5 + -19 Combine like terms: -5 + -19 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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