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Simplifying 10n + -8 = -4(n + -5) Reorder the terms: -8 + 10n = -4(n + -5) Reorder the terms: -8 + 10n = -4(-5 + n) -8 + 10n = (-5 * -4 + n * -4) -8 + 10n = (20 + -4n) Solving -8 + 10n = 20 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -8 + 10n + 4n = 20 + -4n + 4n Combine like terms: 10n + 4n = 14n -8 + 14n = 20 + -4n + 4n Combine like terms: -4n + 4n = 0 -8 + 14n = 20 + 0 -8 + 14n = 20 Add '8' to each side of the equation. -8 + 8 + 14n = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 14n = 20 + 8 14n = 20 + 8 Combine like terms: 20 + 8 = 28 14n = 28 Divide each side by '14'. n = 2 Simplifying n = 2
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