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Simplifying 8(4 + -6n) = 3n + -19 (4 * 8 + -6n * 8) = 3n + -19 (32 + -48n) = 3n + -19 Reorder the terms: 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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