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Simplifying -9 + -7(8 + -3n) = 33 + 7n -9 + (8 * -7 + -3n * -7) = 33 + 7n -9 + (-56 + 21n) = 33 + 7n Combine like terms: -9 + -56 = -65 -65 + 21n = 33 + 7n Solving -65 + 21n = 33 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -65 + 21n + -7n = 33 + 7n + -7n Combine like terms: 21n + -7n = 14n -65 + 14n = 33 + 7n + -7n Combine like terms: 7n + -7n = 0 -65 + 14n = 33 + 0 -65 + 14n = 33 Add '65' to each side of the equation. -65 + 65 + 14n = 33 + 65 Combine like terms: -65 + 65 = 0 0 + 14n = 33 + 65 14n = 33 + 65 Combine like terms: 33 + 65 = 98 14n = 98 Divide each side by '14'. n = 7 Simplifying n = 7
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