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Simplifying 6(1 + -3n) = 36 + -3n (1 * 6 + -3n * 6) = 36 + -3n (6 + -18n) = 36 + -3n Solving 6 + -18n = 36 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 6 + -18n + 3n = 36 + -3n + 3n Combine like terms: -18n + 3n = -15n 6 + -15n = 36 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + -15n = 36 + 0 6 + -15n = 36 Add '-6' to each side of the equation. 6 + -6 + -15n = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -15n = 36 + -6 -15n = 36 + -6 Combine like terms: 36 + -6 = 30 -15n = 30 Divide each side by '-15'. n = -2 Simplifying n = -2
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