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Simplifying 8(2n + -4) = -16 + 24n Reorder the terms: 8(-4 + 2n) = -16 + 24n (-4 * 8 + 2n * 8) = -16 + 24n (-32 + 16n) = -16 + 24n Solving -32 + 16n = -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 + 16n + -24n = -16 + 24n + -24n Combine like terms: 16n + -24n = -8n -32 + -8n = -16 + 24n + -24n Combine like terms: 24n + -24n = 0 -32 + -8n = -16 + 0 -32 + -8n = -16 Add '32' to each side of the equation. -32 + 32 + -8n = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -8n = -16 + 32 -8n = -16 + 32 Combine like terms: -16 + 32 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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