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Simplifying 4(5 + -7n) + -3(8n + 7) = -1 (5 * 4 + -7n * 4) + -3(8n + 7) = -1 (20 + -28n) + -3(8n + 7) = -1 Reorder the terms: 20 + -28n + -3(7 + 8n) = -1 20 + -28n + (7 * -3 + 8n * -3) = -1 20 + -28n + (-21 + -24n) = -1 Reorder the terms: 20 + -21 + -28n + -24n = -1 Combine like terms: 20 + -21 = -1 -1 + -28n + -24n = -1 Combine like terms: -28n + -24n = -52n -1 + -52n = -1 Add '1' to each side of the equation. -1 + 1 + -52n = -1 + 1 Combine like terms: -1 + 1 = 0 0 + -52n = -1 + 1 -52n = -1 + 1 Combine like terms: -1 + 1 = 0 -52n = 0 Solving -52n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-52'. n = 0 Simplifying n = 0
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