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Simplifying -19(8 + n) = 10(-3n + -2) (8 * -19 + n * -19) = 10(-3n + -2) (-152 + -19n) = 10(-3n + -2) Reorder the terms: -152 + -19n = 10(-2 + -3n) -152 + -19n = (-2 * 10 + -3n * 10) -152 + -19n = (-20 + -30n) Solving -152 + -19n = -20 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -152 + -19n + 30n = -20 + -30n + 30n Combine like terms: -19n + 30n = 11n -152 + 11n = -20 + -30n + 30n Combine like terms: -30n + 30n = 0 -152 + 11n = -20 + 0 -152 + 11n = -20 Add '152' to each side of the equation. -152 + 152 + 11n = -20 + 152 Combine like terms: -152 + 152 = 0 0 + 11n = -20 + 152 11n = -20 + 152 Combine like terms: -20 + 152 = 132 11n = 132 Divide each side by '11'. n = 12 Simplifying n = 12
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