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Simplifying 8n + -7(n + -8) = 32 + 5n Reorder the terms: 8n + -7(-8 + n) = 32 + 5n 8n + (-8 * -7 + n * -7) = 32 + 5n 8n + (56 + -7n) = 32 + 5n Reorder the terms: 56 + 8n + -7n = 32 + 5n Combine like terms: 8n + -7n = 1n 56 + 1n = 32 + 5n Solving 56 + 1n = 32 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 56 + 1n + -5n = 32 + 5n + -5n Combine like terms: 1n + -5n = -4n 56 + -4n = 32 + 5n + -5n Combine like terms: 5n + -5n = 0 56 + -4n = 32 + 0 56 + -4n = 32 Add '-56' to each side of the equation. 56 + -56 + -4n = 32 + -56 Combine like terms: 56 + -56 = 0 0 + -4n = 32 + -56 -4n = 32 + -56 Combine like terms: 32 + -56 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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