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Simplifying 3(1 + -6n) + 1 = -10 + -4n (1 * 3 + -6n * 3) + 1 = -10 + -4n (3 + -18n) + 1 = -10 + -4n Reorder the terms: 3 + 1 + -18n = -10 + -4n Combine like terms: 3 + 1 = 4 4 + -18n = -10 + -4n Solving 4 + -18n = -10 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 4 + -18n + 4n = -10 + -4n + 4n Combine like terms: -18n + 4n = -14n 4 + -14n = -10 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + -14n = -10 + 0 4 + -14n = -10 Add '-4' to each side of the equation. 4 + -4 + -14n = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -14n = -10 + -4 -14n = -10 + -4 Combine like terms: -10 + -4 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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