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Simplifying 19 + 7n = -4(8 + -6n) 19 + 7n = (8 * -4 + -6n * -4) 19 + 7n = (-32 + 24n) Solving 19 + 7n = -32 + 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 + 7n + -24n = -32 + 24n + -24n Combine like terms: 7n + -24n = -17n 19 + -17n = -32 + 24n + -24n Combine like terms: 24n + -24n = 0 19 + -17n = -32 + 0 19 + -17n = -32 Add '-19' to each side of the equation. 19 + -19 + -17n = -32 + -19 Combine like terms: 19 + -19 = 0 0 + -17n = -32 + -19 -17n = -32 + -19 Combine like terms: -32 + -19 = -51 -17n = -51 Divide each side by '-17'. n = 3 Simplifying n = 3
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