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Simplifying 2(1 + -8n) = 19 + n (1 * 2 + -8n * 2) = 19 + n (2 + -16n) = 19 + n Solving 2 + -16n = 19 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 2 + -16n + -1n = 19 + n + -1n Combine like terms: -16n + -1n = -17n 2 + -17n = 19 + n + -1n Combine like terms: n + -1n = 0 2 + -17n = 19 + 0 2 + -17n = 19 Add '-2' to each side of the equation. 2 + -2 + -17n = 19 + -2 Combine like terms: 2 + -2 = 0 0 + -17n = 19 + -2 -17n = 19 + -2 Combine like terms: 19 + -2 = 17 -17n = 17 Divide each side by '-17'. n = -1 Simplifying n = -1
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