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Simplifying 56 = 5(-4n + -4) + 6(1 + 5n) Reorder the terms: 56 = 5(-4 + -4n) + 6(1 + 5n) 56 = (-4 * 5 + -4n * 5) + 6(1 + 5n) 56 = (-20 + -20n) + 6(1 + 5n) 56 = -20 + -20n + (1 * 6 + 5n * 6) 56 = -20 + -20n + (6 + 30n) Reorder the terms: 56 = -20 + 6 + -20n + 30n Combine like terms: -20 + 6 = -14 56 = -14 + -20n + 30n Combine like terms: -20n + 30n = 10n 56 = -14 + 10n Solving 56 = -14 + 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. 56 + -10n = -14 + 10n + -10n Combine like terms: 10n + -10n = 0 56 + -10n = -14 + 0 56 + -10n = -14 Add '-56' to each side of the equation. 56 + -56 + -10n = -14 + -56 Combine like terms: 56 + -56 = 0 0 + -10n = -14 + -56 -10n = -14 + -56 Combine like terms: -14 + -56 = -70 -10n = -70 Divide each side by '-10'. n = 7 Simplifying n = 7
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