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Simplifying -8 + 7(5 + -3n) = -33 + -1n -8 + (5 * 7 + -3n * 7) = -33 + -1n -8 + (35 + -21n) = -33 + -1n Combine like terms: -8 + 35 = 27 27 + -21n = -33 + -1n Solving 27 + -21n = -33 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 27 + -21n + n = -33 + -1n + n Combine like terms: -21n + n = -20n 27 + -20n = -33 + -1n + n Combine like terms: -1n + n = 0 27 + -20n = -33 + 0 27 + -20n = -33 Add '-27' to each side of the equation. 27 + -27 + -20n = -33 + -27 Combine like terms: 27 + -27 = 0 0 + -20n = -33 + -27 -20n = -33 + -27 Combine like terms: -33 + -27 = -60 -20n = -60 Divide each side by '-20'. n = 3 Simplifying n = 3
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