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Simplifying 4(-8n + 8) = 7 + -7n Reorder the terms: 4(8 + -8n) = 7 + -7n (8 * 4 + -8n * 4) = 7 + -7n (32 + -32n) = 7 + -7n Solving 32 + -32n = 7 + -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 + -32n + 7n = 7 + -7n + 7n Combine like terms: -32n + 7n = -25n 32 + -25n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 32 + -25n = 7 + 0 32 + -25n = 7 Add '-32' to each side of the equation. 32 + -32 + -25n = 7 + -32 Combine like terms: 32 + -32 = 0 0 + -25n = 7 + -32 -25n = 7 + -32 Combine like terms: 7 + -32 = -25 -25n = -25 Divide each side by '-25'. n = 1 Simplifying n = 1
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