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Simplifying 7 + -1(-3n + -15) = 8n + 4(n + 4) + -12 Reorder the terms: 7 + -1(-15 + -3n) = 8n + 4(n + 4) + -12 7 + (-15 * -1 + -3n * -1) = 8n + 4(n + 4) + -12 7 + (15 + 3n) = 8n + 4(n + 4) + -12 Combine like terms: 7 + 15 = 22 22 + 3n = 8n + 4(n + 4) + -12 Reorder the terms: 22 + 3n = 8n + 4(4 + n) + -12 22 + 3n = 8n + (4 * 4 + n * 4) + -12 22 + 3n = 8n + (16 + 4n) + -12 Reorder the terms: 22 + 3n = 16 + -12 + 8n + 4n Combine like terms: 16 + -12 = 4 22 + 3n = 4 + 8n + 4n Combine like terms: 8n + 4n = 12n 22 + 3n = 4 + 12n Solving 22 + 3n = 4 + 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. 22 + 3n + -12n = 4 + 12n + -12n Combine like terms: 3n + -12n = -9n 22 + -9n = 4 + 12n + -12n Combine like terms: 12n + -12n = 0 22 + -9n = 4 + 0 22 + -9n = 4 Add '-22' to each side of the equation. 22 + -22 + -9n = 4 + -22 Combine like terms: 22 + -22 = 0 0 + -9n = 4 + -22 -9n = 4 + -22 Combine like terms: 4 + -22 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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