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Simplifying 8n + 33 = -7(n + 6) Reorder the terms: 33 + 8n = -7(n + 6) Reorder the terms: 33 + 8n = -7(6 + n) 33 + 8n = (6 * -7 + n * -7) 33 + 8n = (-42 + -7n) Solving 33 + 8n = -42 + -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. 33 + 8n + 7n = -42 + -7n + 7n Combine like terms: 8n + 7n = 15n 33 + 15n = -42 + -7n + 7n Combine like terms: -7n + 7n = 0 33 + 15n = -42 + 0 33 + 15n = -42 Add '-33' to each side of the equation. 33 + -33 + 15n = -42 + -33 Combine like terms: 33 + -33 = 0 0 + 15n = -42 + -33 15n = -42 + -33 Combine like terms: -42 + -33 = -75 15n = -75 Divide each side by '15'. n = -5 Simplifying n = -5
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