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Simplifying -2(5n + 8) = 2n + -2(-8n + 8) Reorder the terms: -2(8 + 5n) = 2n + -2(-8n + 8) (8 * -2 + 5n * -2) = 2n + -2(-8n + 8) (-16 + -10n) = 2n + -2(-8n + 8) Reorder the terms: -16 + -10n = 2n + -2(8 + -8n) -16 + -10n = 2n + (8 * -2 + -8n * -2) -16 + -10n = 2n + (-16 + 16n) Reorder the terms: -16 + -10n = -16 + 2n + 16n Combine like terms: 2n + 16n = 18n -16 + -10n = -16 + 18n Add '16' to each side of the equation. -16 + 16 + -10n = -16 + 16 + 18n Combine like terms: -16 + 16 = 0 0 + -10n = -16 + 16 + 18n -10n = -16 + 16 + 18n Combine like terms: -16 + 16 = 0 -10n = 0 + 18n -10n = 18n Solving -10n = 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -10n + -18n = 18n + -18n Combine like terms: -10n + -18n = -28n -28n = 18n + -18n Combine like terms: 18n + -18n = 0 -28n = 0 Divide each side by '-28'. n = 0 Simplifying n = 0
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