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Simplifying 2n + 2 = 10n + -22 Reorder the terms: 2 + 2n = 10n + -22 Reorder the terms: 2 + 2n = -22 + 10n Solving 2 + 2n = -22 + 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. 2 + 2n + -10n = -22 + 10n + -10n Combine like terms: 2n + -10n = -8n 2 + -8n = -22 + 10n + -10n Combine like terms: 10n + -10n = 0 2 + -8n = -22 + 0 2 + -8n = -22 Add '-2' to each side of the equation. 2 + -2 + -8n = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -8n = -22 + -2 -8n = -22 + -2 Combine like terms: -22 + -2 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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