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Simplifying -5(n + 3) = 45 + 5n Reorder the terms: -5(3 + n) = 45 + 5n (3 * -5 + n * -5) = 45 + 5n (-15 + -5n) = 45 + 5n Solving -15 + -5n = 45 + 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. -15 + -5n + -5n = 45 + 5n + -5n Combine like terms: -5n + -5n = -10n -15 + -10n = 45 + 5n + -5n Combine like terms: 5n + -5n = 0 -15 + -10n = 45 + 0 -15 + -10n = 45 Add '15' to each side of the equation. -15 + 15 + -10n = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -10n = 45 + 15 -10n = 45 + 15 Combine like terms: 45 + 15 = 60 -10n = 60 Divide each side by '-10'. n = -6 Simplifying n = -6
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