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Simplifying -8(n + -1) = 5n + -32 + -3n Reorder the terms: -8(-1 + n) = 5n + -32 + -3n (-1 * -8 + n * -8) = 5n + -32 + -3n (8 + -8n) = 5n + -32 + -3n Reorder the terms: 8 + -8n = -32 + 5n + -3n Combine like terms: 5n + -3n = 2n 8 + -8n = -32 + 2n Solving 8 + -8n = -32 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + -8n + -2n = -32 + 2n + -2n Combine like terms: -8n + -2n = -10n 8 + -10n = -32 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -10n = -32 + 0 8 + -10n = -32 Add '-8' to each side of the equation. 8 + -8 + -10n = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -10n = -32 + -8 -10n = -32 + -8 Combine like terms: -32 + -8 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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