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Simplifying 2 + 8(1 + -3n) = 10 + -1n 2 + (1 * 8 + -3n * 8) = 10 + -1n 2 + (8 + -24n) = 10 + -1n Combine like terms: 2 + 8 = 10 10 + -24n = 10 + -1n Add '-10' to each side of the equation. 10 + -10 + -24n = 10 + -10 + -1n Combine like terms: 10 + -10 = 0 0 + -24n = 10 + -10 + -1n -24n = 10 + -10 + -1n Combine like terms: 10 + -10 = 0 -24n = 0 + -1n -24n = -1n Solving -24n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -24n + n = -1n + n Combine like terms: -24n + n = -23n -23n = -1n + n Combine like terms: -1n + n = 0 -23n = 0 Divide each side by '-23'. n = 0 Simplifying n = 0
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