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Simplifying 4(2n + -1) = -10(n + -5) Reorder the terms: 4(-1 + 2n) = -10(n + -5) (-1 * 4 + 2n * 4) = -10(n + -5) (-4 + 8n) = -10(n + -5) Reorder the terms: -4 + 8n = -10(-5 + n) -4 + 8n = (-5 * -10 + n * -10) -4 + 8n = (50 + -10n) Solving -4 + 8n = 50 + -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. -4 + 8n + 10n = 50 + -10n + 10n Combine like terms: 8n + 10n = 18n -4 + 18n = 50 + -10n + 10n Combine like terms: -10n + 10n = 0 -4 + 18n = 50 + 0 -4 + 18n = 50 Add '4' to each side of the equation. -4 + 4 + 18n = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 18n = 50 + 4 18n = 50 + 4 Combine like terms: 50 + 4 = 54 18n = 54 Divide each side by '18'. n = 3 Simplifying n = 3
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