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Simplifying 10(8n + -5) + -3 = -10(n + 5) + -3 Reorder the terms: 10(-5 + 8n) + -3 = -10(n + 5) + -3 (-5 * 10 + 8n * 10) + -3 = -10(n + 5) + -3 (-50 + 80n) + -3 = -10(n + 5) + -3 Reorder the terms: -50 + -3 + 80n = -10(n + 5) + -3 Combine like terms: -50 + -3 = -53 -53 + 80n = -10(n + 5) + -3 Reorder the terms: -53 + 80n = -10(5 + n) + -3 -53 + 80n = (5 * -10 + n * -10) + -3 -53 + 80n = (-50 + -10n) + -3 Reorder the terms: -53 + 80n = -50 + -3 + -10n Combine like terms: -50 + -3 = -53 -53 + 80n = -53 + -10n Add '53' to each side of the equation. -53 + 53 + 80n = -53 + 53 + -10n Combine like terms: -53 + 53 = 0 0 + 80n = -53 + 53 + -10n 80n = -53 + 53 + -10n Combine like terms: -53 + 53 = 0 80n = 0 + -10n 80n = -10n Solving 80n = -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 80n + 10n = -10n + 10n Combine like terms: 80n + 10n = 90n 90n = -10n + 10n Combine like terms: -10n + 10n = 0 90n = 0 Divide each side by '90'. n = 0.0 Simplifying n = 0.0
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