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Simplifying 6(3n + -2) = (3n + 8) + 1 Reorder the terms: 6(-2 + 3n) = (3n + 8) + 1 (-2 * 6 + 3n * 6) = (3n + 8) + 1 (-12 + 18n) = (3n + 8) + 1 Reorder the terms: -12 + 18n = (8 + 3n) + 1 Remove parenthesis around (8 + 3n) -12 + 18n = 8 + 3n + 1 Reorder the terms: -12 + 18n = 8 + 1 + 3n Combine like terms: 8 + 1 = 9 -12 + 18n = 9 + 3n Solving -12 + 18n = 9 + 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. -12 + 18n + -3n = 9 + 3n + -3n Combine like terms: 18n + -3n = 15n -12 + 15n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 15n = 9 + 0 -12 + 15n = 9 Add '12' to each side of the equation. -12 + 12 + 15n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 15n = 9 + 12 15n = 9 + 12 Combine like terms: 9 + 12 = 21 15n = 21 Divide each side by '15'. n = 1.4 Simplifying n = 1.4
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