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Simplifying -4(5n + -7) = 10n + -2 Reorder the terms: -4(-7 + 5n) = 10n + -2 (-7 * -4 + 5n * -4) = 10n + -2 (28 + -20n) = 10n + -2 Reorder the terms: 28 + -20n = -2 + 10n Solving 28 + -20n = -2 + 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. 28 + -20n + -10n = -2 + 10n + -10n Combine like terms: -20n + -10n = -30n 28 + -30n = -2 + 10n + -10n Combine like terms: 10n + -10n = 0 28 + -30n = -2 + 0 28 + -30n = -2 Add '-28' to each side of the equation. 28 + -28 + -30n = -2 + -28 Combine like terms: 28 + -28 = 0 0 + -30n = -2 + -28 -30n = -2 + -28 Combine like terms: -2 + -28 = -30 -30n = -30 Divide each side by '-30'. n = 1 Simplifying n = 1
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