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Simplifying -90 = 5n + 5(n + -6) Reorder the terms: -90 = 5n + 5(-6 + n) -90 = 5n + (-6 * 5 + n * 5) -90 = 5n + (-30 + 5n) Reorder the terms: -90 = -30 + 5n + 5n Combine like terms: 5n + 5n = 10n -90 = -30 + 10n Solving -90 = -30 + 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. -90 + -10n = -30 + 10n + -10n Combine like terms: 10n + -10n = 0 -90 + -10n = -30 + 0 -90 + -10n = -30 Add '90' to each side of the equation. -90 + 90 + -10n = -30 + 90 Combine like terms: -90 + 90 = 0 0 + -10n = -30 + 90 -10n = -30 + 90 Combine like terms: -30 + 90 = 60 -10n = 60 Divide each side by '-10'. n = -6 Simplifying n = -6
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