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Simplifying 6(2n + -4) + -4n = 8(5n + 1) Reorder the terms: 6(-4 + 2n) + -4n = 8(5n + 1) (-4 * 6 + 2n * 6) + -4n = 8(5n + 1) (-24 + 12n) + -4n = 8(5n + 1) Combine like terms: 12n + -4n = 8n -24 + 8n = 8(5n + 1) Reorder the terms: -24 + 8n = 8(1 + 5n) -24 + 8n = (1 * 8 + 5n * 8) -24 + 8n = (8 + 40n) Solving -24 + 8n = 8 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -24 + 8n + -40n = 8 + 40n + -40n Combine like terms: 8n + -40n = -32n -24 + -32n = 8 + 40n + -40n Combine like terms: 40n + -40n = 0 -24 + -32n = 8 + 0 -24 + -32n = 8 Add '24' to each side of the equation. -24 + 24 + -32n = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -32n = 8 + 24 -32n = 8 + 24 Combine like terms: 8 + 24 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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