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Simplifying 5(3n + 7) = -19 + 6n Reorder the terms: 5(7 + 3n) = -19 + 6n (7 * 5 + 3n * 5) = -19 + 6n (35 + 15n) = -19 + 6n Solving 35 + 15n = -19 + 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. 35 + 15n + -6n = -19 + 6n + -6n Combine like terms: 15n + -6n = 9n 35 + 9n = -19 + 6n + -6n Combine like terms: 6n + -6n = 0 35 + 9n = -19 + 0 35 + 9n = -19 Add '-35' to each side of the equation. 35 + -35 + 9n = -19 + -35 Combine like terms: 35 + -35 = 0 0 + 9n = -19 + -35 9n = -19 + -35 Combine like terms: -19 + -35 = -54 9n = -54 Divide each side by '9'. n = -6 Simplifying n = -6
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