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Simplifying -8n + -3(7n + -7) = -33 + -2n Reorder the terms: -8n + -3(-7 + 7n) = -33 + -2n -8n + (-7 * -3 + 7n * -3) = -33 + -2n -8n + (21 + -21n) = -33 + -2n Reorder the terms: 21 + -8n + -21n = -33 + -2n Combine like terms: -8n + -21n = -29n 21 + -29n = -33 + -2n Solving 21 + -29n = -33 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 21 + -29n + 2n = -33 + -2n + 2n Combine like terms: -29n + 2n = -27n 21 + -27n = -33 + -2n + 2n Combine like terms: -2n + 2n = 0 21 + -27n = -33 + 0 21 + -27n = -33 Add '-21' to each side of the equation. 21 + -21 + -27n = -33 + -21 Combine like terms: 21 + -21 = 0 0 + -27n = -33 + -21 -27n = -33 + -21 Combine like terms: -33 + -21 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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