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Simplifying 6(1 + -8n) + 4n = 6 + n (1 * 6 + -8n * 6) + 4n = 6 + n (6 + -48n) + 4n = 6 + n Combine like terms: -48n + 4n = -44n 6 + -44n = 6 + n Add '-6' to each side of the equation. 6 + -6 + -44n = 6 + -6 + n Combine like terms: 6 + -6 = 0 0 + -44n = 6 + -6 + n -44n = 6 + -6 + n Combine like terms: 6 + -6 = 0 -44n = 0 + n -44n = n Solving -44n = 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. -44n + -1n = n + -1n Combine like terms: -44n + -1n = -45n -45n = n + -1n Combine like terms: n + -1n = 0 -45n = 0 Divide each side by '-45'. n = 0 Simplifying n = 0
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