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Simplifying 10 + 5n = -2 + -8(8 + -3n) 10 + 5n = -2 + (8 * -8 + -3n * -8) 10 + 5n = -2 + (-64 + 24n) Combine like terms: -2 + -64 = -66 10 + 5n = -66 + 24n Solving 10 + 5n = -66 + 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. 10 + 5n + -24n = -66 + 24n + -24n Combine like terms: 5n + -24n = -19n 10 + -19n = -66 + 24n + -24n Combine like terms: 24n + -24n = 0 10 + -19n = -66 + 0 10 + -19n = -66 Add '-10' to each side of the equation. 10 + -10 + -19n = -66 + -10 Combine like terms: 10 + -10 = 0 0 + -19n = -66 + -10 -19n = -66 + -10 Combine like terms: -66 + -10 = -76 -19n = -76 Divide each side by '-19'. n = 4 Simplifying n = 4
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