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Simplifying 8(8n + -4) = 2n + -32 Reorder the terms: 8(-4 + 8n) = 2n + -32 (-4 * 8 + 8n * 8) = 2n + -32 (-32 + 64n) = 2n + -32 Reorder the terms: -32 + 64n = -32 + 2n Add '32' to each side of the equation. -32 + 32 + 64n = -32 + 32 + 2n Combine like terms: -32 + 32 = 0 0 + 64n = -32 + 32 + 2n 64n = -32 + 32 + 2n Combine like terms: -32 + 32 = 0 64n = 0 + 2n 64n = 2n Solving 64n = 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. 64n + -2n = 2n + -2n Combine like terms: 64n + -2n = 62n 62n = 2n + -2n Combine like terms: 2n + -2n = 0 62n = 0 Divide each side by '62'. n = 0 Simplifying n = 0
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