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Simplifying -183 = 3 + 6(3n + -7) Reorder the terms: -183 = 3 + 6(-7 + 3n) -183 = 3 + (-7 * 6 + 3n * 6) -183 = 3 + (-42 + 18n) Combine like terms: 3 + -42 = -39 -183 = -39 + 18n Solving -183 = -39 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -183 + -18n = -39 + 18n + -18n Combine like terms: 18n + -18n = 0 -183 + -18n = -39 + 0 -183 + -18n = -39 Add '183' to each side of the equation. -183 + 183 + -18n = -39 + 183 Combine like terms: -183 + 183 = 0 0 + -18n = -39 + 183 -18n = -39 + 183 Combine like terms: -39 + 183 = 144 -18n = 144 Divide each side by '-18'. n = -8 Simplifying n = -8
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