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Simplifying -118 = -5(3n + 2) + -3n Reorder the terms: -118 = -5(2 + 3n) + -3n -118 = (2 * -5 + 3n * -5) + -3n -118 = (-10 + -15n) + -3n Combine like terms: -15n + -3n = -18n -118 = -10 + -18n Solving -118 = -10 + -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. -118 + 18n = -10 + -18n + 18n Combine like terms: -18n + 18n = 0 -118 + 18n = -10 + 0 -118 + 18n = -10 Add '118' to each side of the equation. -118 + 118 + 18n = -10 + 118 Combine like terms: -118 + 118 = 0 0 + 18n = -10 + 118 18n = -10 + 118 Combine like terms: -10 + 118 = 108 18n = 108 Divide each side by '18'. n = 6 Simplifying n = 6
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