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Simplifying -100 = -5(2n + 4) Reorder the terms: -100 = -5(4 + 2n) -100 = (4 * -5 + 2n * -5) -100 = (-20 + -10n) Solving -100 = -20 + -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. -100 + 10n = -20 + -10n + 10n Combine like terms: -10n + 10n = 0 -100 + 10n = -20 + 0 -100 + 10n = -20 Add '100' to each side of the equation. -100 + 100 + 10n = -20 + 100 Combine like terms: -100 + 100 = 0 0 + 10n = -20 + 100 10n = -20 + 100 Combine like terms: -20 + 100 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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