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Simplifying 8(-1n + 4) = 39 + -7n Reorder the terms: 8(4 + -1n) = 39 + -7n (4 * 8 + -1n * 8) = 39 + -7n (32 + -8n) = 39 + -7n Solving 32 + -8n = 39 + -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. 32 + -8n + 7n = 39 + -7n + 7n Combine like terms: -8n + 7n = -1n 32 + -1n = 39 + -7n + 7n Combine like terms: -7n + 7n = 0 32 + -1n = 39 + 0 32 + -1n = 39 Add '-32' to each side of the equation. 32 + -32 + -1n = 39 + -32 Combine like terms: 32 + -32 = 0 0 + -1n = 39 + -32 -1n = 39 + -32 Combine like terms: 39 + -32 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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