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Simplifying 5n + 19 = 8(-3n + 6) Reorder the terms: 19 + 5n = 8(-3n + 6) Reorder the terms: 19 + 5n = 8(6 + -3n) 19 + 5n = (6 * 8 + -3n * 8) 19 + 5n = (48 + -24n) Solving 19 + 5n = 48 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 19 + 5n + 24n = 48 + -24n + 24n Combine like terms: 5n + 24n = 29n 19 + 29n = 48 + -24n + 24n Combine like terms: -24n + 24n = 0 19 + 29n = 48 + 0 19 + 29n = 48 Add '-19' to each side of the equation. 19 + -19 + 29n = 48 + -19 Combine like terms: 19 + -19 = 0 0 + 29n = 48 + -19 29n = 48 + -19 Combine like terms: 48 + -19 = 29 29n = 29 Divide each side by '29'. n = 1 Simplifying n = 1
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