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Simplifying 4 + 10n + -3 = 4n + 49 + -2n Reorder the terms: 4 + -3 + 10n = 4n + 49 + -2n Combine like terms: 4 + -3 = 1 1 + 10n = 4n + 49 + -2n Reorder the terms: 1 + 10n = 49 + 4n + -2n Combine like terms: 4n + -2n = 2n 1 + 10n = 49 + 2n Solving 1 + 10n = 49 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 1 + 10n + -2n = 49 + 2n + -2n Combine like terms: 10n + -2n = 8n 1 + 8n = 49 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 8n = 49 + 0 1 + 8n = 49 Add '-1' to each side of the equation. 1 + -1 + 8n = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 49 + -1 8n = 49 + -1 Combine like terms: 49 + -1 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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