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Simplifying 2n + -4n + -16 + -8n = -15n + 9n + 12 + 20 Reorder the terms: -16 + 2n + -4n + -8n = -15n + 9n + 12 + 20 Combine like terms: 2n + -4n = -2n -16 + -2n + -8n = -15n + 9n + 12 + 20 Combine like terms: -2n + -8n = -10n -16 + -10n = -15n + 9n + 12 + 20 Reorder the terms: -16 + -10n = 12 + 20 + -15n + 9n Combine like terms: 12 + 20 = 32 -16 + -10n = 32 + -15n + 9n Combine like terms: -15n + 9n = -6n -16 + -10n = 32 + -6n Solving -16 + -10n = 32 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -16 + -10n + 6n = 32 + -6n + 6n Combine like terms: -10n + 6n = -4n -16 + -4n = 32 + -6n + 6n Combine like terms: -6n + 6n = 0 -16 + -4n = 32 + 0 -16 + -4n = 32 Add '16' to each side of the equation. -16 + 16 + -4n = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -4n = 32 + 16 -4n = 32 + 16 Combine like terms: 32 + 16 = 48 -4n = 48 Divide each side by '-4'. n = -12 Simplifying n = -12
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