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Simplifying -7n + -33 = -4(n + 2) + -8n Reorder the terms: -33 + -7n = -4(n + 2) + -8n Reorder the terms: -33 + -7n = -4(2 + n) + -8n -33 + -7n = (2 * -4 + n * -4) + -8n -33 + -7n = (-8 + -4n) + -8n Combine like terms: -4n + -8n = -12n -33 + -7n = -8 + -12n Solving -33 + -7n = -8 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -33 + -7n + 12n = -8 + -12n + 12n Combine like terms: -7n + 12n = 5n -33 + 5n = -8 + -12n + 12n Combine like terms: -12n + 12n = 0 -33 + 5n = -8 + 0 -33 + 5n = -8 Add '33' to each side of the equation. -33 + 33 + 5n = -8 + 33 Combine like terms: -33 + 33 = 0 0 + 5n = -8 + 33 5n = -8 + 33 Combine like terms: -8 + 33 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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