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Simplifying 5n + 33 = -2(1 + -5n) Reorder the terms: 33 + 5n = -2(1 + -5n) 33 + 5n = (1 * -2 + -5n * -2) 33 + 5n = (-2 + 10n) Solving 33 + 5n = -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. 33 + 5n + -10n = -2 + 10n + -10n Combine like terms: 5n + -10n = -5n 33 + -5n = -2 + 10n + -10n Combine like terms: 10n + -10n = 0 33 + -5n = -2 + 0 33 + -5n = -2 Add '-33' to each side of the equation. 33 + -33 + -5n = -2 + -33 Combine like terms: 33 + -33 = 0 0 + -5n = -2 + -33 -5n = -2 + -33 Combine like terms: -2 + -33 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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