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Simplifying -8n + -4(4n + 1) = -4(1 + -7n) Reorder the terms: -8n + -4(1 + 4n) = -4(1 + -7n) -8n + (1 * -4 + 4n * -4) = -4(1 + -7n) -8n + (-4 + -16n) = -4(1 + -7n) Reorder the terms: -4 + -8n + -16n = -4(1 + -7n) Combine like terms: -8n + -16n = -24n -4 + -24n = -4(1 + -7n) -4 + -24n = (1 * -4 + -7n * -4) -4 + -24n = (-4 + 28n) Add '4' to each side of the equation. -4 + 4 + -24n = -4 + 4 + 28n Combine like terms: -4 + 4 = 0 0 + -24n = -4 + 4 + 28n -24n = -4 + 4 + 28n Combine like terms: -4 + 4 = 0 -24n = 0 + 28n -24n = 28n Solving -24n = 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -24n + -28n = 28n + -28n Combine like terms: -24n + -28n = -52n -52n = 28n + -28n Combine like terms: 28n + -28n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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