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Simplifying 5(n + -2) = 4(2n + 6) + 2 Reorder the terms: 5(-2 + n) = 4(2n + 6) + 2 (-2 * 5 + n * 5) = 4(2n + 6) + 2 (-10 + 5n) = 4(2n + 6) + 2 Reorder the terms: -10 + 5n = 4(6 + 2n) + 2 -10 + 5n = (6 * 4 + 2n * 4) + 2 -10 + 5n = (24 + 8n) + 2 Reorder the terms: -10 + 5n = 24 + 2 + 8n Combine like terms: 24 + 2 = 26 -10 + 5n = 26 + 8n Solving -10 + 5n = 26 + 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 + 5n + -8n = 26 + 8n + -8n Combine like terms: 5n + -8n = -3n -10 + -3n = 26 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -3n = 26 + 0 -10 + -3n = 26 Add '10' to each side of the equation. -10 + 10 + -3n = 26 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 26 + 10 -3n = 26 + 10 Combine like terms: 26 + 10 = 36 -3n = 36 Divide each side by '-3'. n = -12 Simplifying n = -12
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