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Simplifying 8(6n + 4) = -19 + -3n Reorder the terms: 8(4 + 6n) = -19 + -3n (4 * 8 + 6n * 8) = -19 + -3n (32 + 48n) = -19 + -3n Solving 32 + 48n = -19 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 32 + 48n + 3n = -19 + -3n + 3n Combine like terms: 48n + 3n = 51n 32 + 51n = -19 + -3n + 3n Combine like terms: -3n + 3n = 0 32 + 51n = -19 + 0 32 + 51n = -19 Add '-32' to each side of the equation. 32 + -32 + 51n = -19 + -32 Combine like terms: 32 + -32 = 0 0 + 51n = -19 + -32 51n = -19 + -32 Combine like terms: -19 + -32 = -51 51n = -51 Divide each side by '51'. n = -1 Simplifying n = -1
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