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Simplifying -1(3 + -3n) = 4(7 + 2n) + 4 (3 * -1 + -3n * -1) = 4(7 + 2n) + 4 (-3 + 3n) = 4(7 + 2n) + 4 -3 + 3n = (7 * 4 + 2n * 4) + 4 -3 + 3n = (28 + 8n) + 4 Reorder the terms: -3 + 3n = 28 + 4 + 8n Combine like terms: 28 + 4 = 32 -3 + 3n = 32 + 8n Solving -3 + 3n = 32 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -3 + 3n + -8n = 32 + 8n + -8n Combine like terms: 3n + -8n = -5n -3 + -5n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -3 + -5n = 32 + 0 -3 + -5n = 32 Add '3' to each side of the equation. -3 + 3 + -5n = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -5n = 32 + 3 -5n = 32 + 3 Combine like terms: 32 + 3 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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