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Simplifying 59 = -5(-2n + -5) + 4(-5n + -4) Reorder the terms: 59 = -5(-5 + -2n) + 4(-5n + -4) 59 = (-5 * -5 + -2n * -5) + 4(-5n + -4) 59 = (25 + 10n) + 4(-5n + -4) Reorder the terms: 59 = 25 + 10n + 4(-4 + -5n) 59 = 25 + 10n + (-4 * 4 + -5n * 4) 59 = 25 + 10n + (-16 + -20n) Reorder the terms: 59 = 25 + -16 + 10n + -20n Combine like terms: 25 + -16 = 9 59 = 9 + 10n + -20n Combine like terms: 10n + -20n = -10n 59 = 9 + -10n Solving 59 = 9 + -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. 59 + 10n = 9 + -10n + 10n Combine like terms: -10n + 10n = 0 59 + 10n = 9 + 0 59 + 10n = 9 Add '-59' to each side of the equation. 59 + -59 + 10n = 9 + -59 Combine like terms: 59 + -59 = 0 0 + 10n = 9 + -59 10n = 9 + -59 Combine like terms: 9 + -59 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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