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Simplifying 5(-2n + -4) + -2(-4 + -7n) = 8n + -1n Reorder the terms: 5(-4 + -2n) + -2(-4 + -7n) = 8n + -1n (-4 * 5 + -2n * 5) + -2(-4 + -7n) = 8n + -1n (-20 + -10n) + -2(-4 + -7n) = 8n + -1n -20 + -10n + (-4 * -2 + -7n * -2) = 8n + -1n -20 + -10n + (8 + 14n) = 8n + -1n Reorder the terms: -20 + 8 + -10n + 14n = 8n + -1n Combine like terms: -20 + 8 = -12 -12 + -10n + 14n = 8n + -1n Combine like terms: -10n + 14n = 4n -12 + 4n = 8n + -1n Combine like terms: 8n + -1n = 7n -12 + 4n = 7n Solving -12 + 4n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -12 + 4n + -7n = 7n + -7n Combine like terms: 4n + -7n = -3n -12 + -3n = 7n + -7n Combine like terms: 7n + -7n = 0 -12 + -3n = 0 Add '12' to each side of the equation. -12 + 12 + -3n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = 0 + 12 -3n = 0 + 12 Combine like terms: 0 + 12 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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