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Simplifying -8(n + 4) + 33 = -6n + -5 Reorder the terms: -8(4 + n) + 33 = -6n + -5 (4 * -8 + n * -8) + 33 = -6n + -5 (-32 + -8n) + 33 = -6n + -5 Reorder the terms: -32 + 33 + -8n = -6n + -5 Combine like terms: -32 + 33 = 1 1 + -8n = -6n + -5 Reorder the terms: 1 + -8n = -5 + -6n Solving 1 + -8n = -5 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 1 + -8n + 6n = -5 + -6n + 6n Combine like terms: -8n + 6n = -2n 1 + -2n = -5 + -6n + 6n Combine like terms: -6n + 6n = 0 1 + -2n = -5 + 0 1 + -2n = -5 Add '-1' to each side of the equation. 1 + -1 + -2n = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = -5 + -1 -2n = -5 + -1 Combine like terms: -5 + -1 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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