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Simplifying 4n + -10 = 6(n + 2) + 2n Reorder the terms: -10 + 4n = 6(n + 2) + 2n Reorder the terms: -10 + 4n = 6(2 + n) + 2n -10 + 4n = (2 * 6 + n * 6) + 2n -10 + 4n = (12 + 6n) + 2n Combine like terms: 6n + 2n = 8n -10 + 4n = 12 + 8n Solving -10 + 4n = 12 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -10 + 4n + -8n = 12 + 8n + -8n Combine like terms: 4n + -8n = -4n -10 + -4n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -4n = 12 + 0 -10 + -4n = 12 Add '10' to each side of the equation. -10 + 10 + -4n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -4n = 12 + 10 -4n = 12 + 10 Combine like terms: 12 + 10 = 22 -4n = 22 Divide each side by '-4'. n = -5.5 Simplifying n = -5.5
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