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Simplifying -3n + -12 + -12n = 2 + 3n + 6 Reorder the terms: -12 + -3n + -12n = 2 + 3n + 6 Combine like terms: -3n + -12n = -15n -12 + -15n = 2 + 3n + 6 Reorder the terms: -12 + -15n = 2 + 6 + 3n Combine like terms: 2 + 6 = 8 -12 + -15n = 8 + 3n Solving -12 + -15n = 8 + 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 + -15n + -3n = 8 + 3n + -3n Combine like terms: -15n + -3n = -18n -12 + -18n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + -18n = 8 + 0 -12 + -18n = 8 Add '12' to each side of the equation. -12 + 12 + -18n = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -18n = 8 + 12 -18n = 8 + 12 Combine like terms: 8 + 12 = 20 -18n = 20 Divide each side by '-18'. n = -1.111111111 Simplifying n = -1.111111111
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