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Simplifying 3(n + -6) + 4 = 5n + -6 Reorder the terms: 3(-6 + n) + 4 = 5n + -6 (-6 * 3 + n * 3) + 4 = 5n + -6 (-18 + 3n) + 4 = 5n + -6 Reorder the terms: -18 + 4 + 3n = 5n + -6 Combine like terms: -18 + 4 = -14 -14 + 3n = 5n + -6 Reorder the terms: -14 + 3n = -6 + 5n Solving -14 + 3n = -6 + 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. -14 + 3n + -5n = -6 + 5n + -5n Combine like terms: 3n + -5n = -2n -14 + -2n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + -2n = -6 + 0 -14 + -2n = -6 Add '14' to each side of the equation. -14 + 14 + -2n = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -2n = -6 + 14 -2n = -6 + 14 Combine like terms: -6 + 14 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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