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Simplifying 2n + 3.74 = 10n + -2.25 Reorder the terms: 3.74 + 2n = 10n + -2.25 Reorder the terms: 3.74 + 2n = -2.25 + 10n Solving 3.74 + 2n = -2.25 + 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. 3.74 + 2n + -10n = -2.25 + 10n + -10n Combine like terms: 2n + -10n = -8n 3.74 + -8n = -2.25 + 10n + -10n Combine like terms: 10n + -10n = 0 3.74 + -8n = -2.25 + 0 3.74 + -8n = -2.25 Add '-3.74' to each side of the equation. 3.74 + -3.74 + -8n = -2.25 + -3.74 Combine like terms: 3.74 + -3.74 = 0.00 0.00 + -8n = -2.25 + -3.74 -8n = -2.25 + -3.74 Combine like terms: -2.25 + -3.74 = -5.99 -8n = -5.99 Divide each side by '-8'. n = 0.74875 Simplifying n = 0.74875
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