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Simplifying 32 + 7n = -2(4n + -1) Reorder the terms: 32 + 7n = -2(-1 + 4n) 32 + 7n = (-1 * -2 + 4n * -2) 32 + 7n = (2 + -8n) Solving 32 + 7n = 2 + -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. 32 + 7n + 8n = 2 + -8n + 8n Combine like terms: 7n + 8n = 15n 32 + 15n = 2 + -8n + 8n Combine like terms: -8n + 8n = 0 32 + 15n = 2 + 0 32 + 15n = 2 Add '-32' to each side of the equation. 32 + -32 + 15n = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 15n = 2 + -32 15n = 2 + -32 Combine like terms: 2 + -32 = -30 15n = -30 Divide each side by '15'. n = -2 Simplifying n = -2
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