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Simplifying n + -6(1 + 5n) = -5n + 18 n + (1 * -6 + 5n * -6) = -5n + 18 n + (-6 + -30n) = -5n + 18 Reorder the terms: -6 + n + -30n = -5n + 18 Combine like terms: n + -30n = -29n -6 + -29n = -5n + 18 Reorder the terms: -6 + -29n = 18 + -5n Solving -6 + -29n = 18 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -6 + -29n + 5n = 18 + -5n + 5n Combine like terms: -29n + 5n = -24n -6 + -24n = 18 + -5n + 5n Combine like terms: -5n + 5n = 0 -6 + -24n = 18 + 0 -6 + -24n = 18 Add '6' to each side of the equation. -6 + 6 + -24n = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -24n = 18 + 6 -24n = 18 + 6 Combine like terms: 18 + 6 = 24 -24n = 24 Divide each side by '-24'. n = -1 Simplifying n = -1
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