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Simplifying 8(-5n + 8) = -8(n + -4) Reorder the terms: 8(8 + -5n) = -8(n + -4) (8 * 8 + -5n * 8) = -8(n + -4) (64 + -40n) = -8(n + -4) Reorder the terms: 64 + -40n = -8(-4 + n) 64 + -40n = (-4 * -8 + n * -8) 64 + -40n = (32 + -8n) Solving 64 + -40n = 32 + -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. 64 + -40n + 8n = 32 + -8n + 8n Combine like terms: -40n + 8n = -32n 64 + -32n = 32 + -8n + 8n Combine like terms: -8n + 8n = 0 64 + -32n = 32 + 0 64 + -32n = 32 Add '-64' to each side of the equation. 64 + -64 + -32n = 32 + -64 Combine like terms: 64 + -64 = 0 0 + -32n = 32 + -64 -32n = 32 + -64 Combine like terms: 32 + -64 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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