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Simplifying -8(4 + -1n) = -4(-6n + 4) (4 * -8 + -1n * -8) = -4(-6n + 4) (-32 + 8n) = -4(-6n + 4) Reorder the terms: -32 + 8n = -4(4 + -6n) -32 + 8n = (4 * -4 + -6n * -4) -32 + 8n = (-16 + 24n) Solving -32 + 8n = -16 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -32 + 8n + -24n = -16 + 24n + -24n Combine like terms: 8n + -24n = -16n -32 + -16n = -16 + 24n + -24n Combine like terms: 24n + -24n = 0 -32 + -16n = -16 + 0 -32 + -16n = -16 Add '32' to each side of the equation. -32 + 32 + -16n = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -16n = -16 + 32 -16n = -16 + 32 Combine like terms: -16 + 32 = 16 -16n = 16 Divide each side by '-16'. n = -1 Simplifying n = -1
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