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Simplifying -5(1 + 3n) + 8 = -27 + -5n (1 * -5 + 3n * -5) + 8 = -27 + -5n (-5 + -15n) + 8 = -27 + -5n Reorder the terms: -5 + 8 + -15n = -27 + -5n Combine like terms: -5 + 8 = 3 3 + -15n = -27 + -5n Solving 3 + -15n = -27 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 3 + -15n + 5n = -27 + -5n + 5n Combine like terms: -15n + 5n = -10n 3 + -10n = -27 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + -10n = -27 + 0 3 + -10n = -27 Add '-3' to each side of the equation. 3 + -3 + -10n = -27 + -3 Combine like terms: 3 + -3 = 0 0 + -10n = -27 + -3 -10n = -27 + -3 Combine like terms: -27 + -3 = -30 -10n = -30 Divide each side by '-10'. n = 3 Simplifying n = 3
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