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Simplifying 2(8n + -4) = 8(2 + 5n) Reorder the terms: 2(-4 + 8n) = 8(2 + 5n) (-4 * 2 + 8n * 2) = 8(2 + 5n) (-8 + 16n) = 8(2 + 5n) -8 + 16n = (2 * 8 + 5n * 8) -8 + 16n = (16 + 40n) Solving -8 + 16n = 16 + 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. -8 + 16n + -40n = 16 + 40n + -40n Combine like terms: 16n + -40n = -24n -8 + -24n = 16 + 40n + -40n Combine like terms: 40n + -40n = 0 -8 + -24n = 16 + 0 -8 + -24n = 16 Add '8' to each side of the equation. -8 + 8 + -24n = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -24n = 16 + 8 -24n = 16 + 8 Combine like terms: 16 + 8 = 24 -24n = 24 Divide each side by '-24'. n = -1 Simplifying n = -1
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