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Simplifying -6(8n + -2) = -33 + -3n Reorder the terms: -6(-2 + 8n) = -33 + -3n (-2 * -6 + 8n * -6) = -33 + -3n (12 + -48n) = -33 + -3n Solving 12 + -48n = -33 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 12 + -48n + 3n = -33 + -3n + 3n Combine like terms: -48n + 3n = -45n 12 + -45n = -33 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + -45n = -33 + 0 12 + -45n = -33 Add '-12' to each side of the equation. 12 + -12 + -45n = -33 + -12 Combine like terms: 12 + -12 = 0 0 + -45n = -33 + -12 -45n = -33 + -12 Combine like terms: -33 + -12 = -45 -45n = -45 Divide each side by '-45'. n = 1 Simplifying n = 1
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