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Simplifying -4 + -5(-2n + -1) = -5 + -4(6 + -5n) Reorder the terms: -4 + -5(-1 + -2n) = -5 + -4(6 + -5n) -4 + (-1 * -5 + -2n * -5) = -5 + -4(6 + -5n) -4 + (5 + 10n) = -5 + -4(6 + -5n) Combine like terms: -4 + 5 = 1 1 + 10n = -5 + -4(6 + -5n) 1 + 10n = -5 + (6 * -4 + -5n * -4) 1 + 10n = -5 + (-24 + 20n) Combine like terms: -5 + -24 = -29 1 + 10n = -29 + 20n Solving 1 + 10n = -29 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 1 + 10n + -20n = -29 + 20n + -20n Combine like terms: 10n + -20n = -10n 1 + -10n = -29 + 20n + -20n Combine like terms: 20n + -20n = 0 1 + -10n = -29 + 0 1 + -10n = -29 Add '-1' to each side of the equation. 1 + -1 + -10n = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -10n = -29 + -1 -10n = -29 + -1 Combine like terms: -29 + -1 = -30 -10n = -30 Divide each side by '-10'. n = 3 Simplifying n = 3
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