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Simplifying -179 = 6(3n + -6) + 1 Reorder the terms: -179 = 6(-6 + 3n) + 1 -179 = (-6 * 6 + 3n * 6) + 1 -179 = (-36 + 18n) + 1 Reorder the terms: -179 = -36 + 1 + 18n Combine like terms: -36 + 1 = -35 -179 = -35 + 18n Solving -179 = -35 + 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. -179 + -18n = -35 + 18n + -18n Combine like terms: 18n + -18n = 0 -179 + -18n = -35 + 0 -179 + -18n = -35 Add '179' to each side of the equation. -179 + 179 + -18n = -35 + 179 Combine like terms: -179 + 179 = 0 0 + -18n = -35 + 179 -18n = -35 + 179 Combine like terms: -35 + 179 = 144 -18n = 144 Divide each side by '-18'. n = -8 Simplifying n = -8
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