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Simplifying -1(-10n + 1) = -5(1 + -6n) + 7 Reorder the terms: -1(1 + -10n) = -5(1 + -6n) + 7 (1 * -1 + -10n * -1) = -5(1 + -6n) + 7 (-1 + 10n) = -5(1 + -6n) + 7 -1 + 10n = (1 * -5 + -6n * -5) + 7 -1 + 10n = (-5 + 30n) + 7 Reorder the terms: -1 + 10n = -5 + 7 + 30n Combine like terms: -5 + 7 = 2 -1 + 10n = 2 + 30n Solving -1 + 10n = 2 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -1 + 10n + -30n = 2 + 30n + -30n Combine like terms: 10n + -30n = -20n -1 + -20n = 2 + 30n + -30n Combine like terms: 30n + -30n = 0 -1 + -20n = 2 + 0 -1 + -20n = 2 Add '1' to each side of the equation. -1 + 1 + -20n = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -20n = 2 + 1 -20n = 2 + 1 Combine like terms: 2 + 1 = 3 -20n = 3 Divide each side by '-20'. n = -0.15 Simplifying n = -0.15
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