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Simplifying 6(5n + -12) + 50 = 19n + -77 Reorder the terms: 6(-12 + 5n) + 50 = 19n + -77 (-12 * 6 + 5n * 6) + 50 = 19n + -77 (-72 + 30n) + 50 = 19n + -77 Reorder the terms: -72 + 50 + 30n = 19n + -77 Combine like terms: -72 + 50 = -22 -22 + 30n = 19n + -77 Reorder the terms: -22 + 30n = -77 + 19n Solving -22 + 30n = -77 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. -22 + 30n + -19n = -77 + 19n + -19n Combine like terms: 30n + -19n = 11n -22 + 11n = -77 + 19n + -19n Combine like terms: 19n + -19n = 0 -22 + 11n = -77 + 0 -22 + 11n = -77 Add '22' to each side of the equation. -22 + 22 + 11n = -77 + 22 Combine like terms: -22 + 22 = 0 0 + 11n = -77 + 22 11n = -77 + 22 Combine like terms: -77 + 22 = -55 11n = -55 Divide each side by '11'. n = -5 Simplifying n = -5
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