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Simplifying -3(5n + -4) + -2 = 30 + -5n Reorder the terms: -3(-4 + 5n) + -2 = 30 + -5n (-4 * -3 + 5n * -3) + -2 = 30 + -5n (12 + -15n) + -2 = 30 + -5n Reorder the terms: 12 + -2 + -15n = 30 + -5n Combine like terms: 12 + -2 = 10 10 + -15n = 30 + -5n Solving 10 + -15n = 30 + -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. 10 + -15n + 5n = 30 + -5n + 5n Combine like terms: -15n + 5n = -10n 10 + -10n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + -10n = 30 + 0 10 + -10n = 30 Add '-10' to each side of the equation. 10 + -10 + -10n = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -10n = 30 + -10 -10n = 30 + -10 Combine like terms: 30 + -10 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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