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Simplifying -10 + 8n = 5n + 4(8 + 6n) -10 + 8n = 5n + (8 * 4 + 6n * 4) -10 + 8n = 5n + (32 + 24n) Reorder the terms: -10 + 8n = 32 + 5n + 24n Combine like terms: 5n + 24n = 29n -10 + 8n = 32 + 29n Solving -10 + 8n = 32 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. -10 + 8n + -29n = 32 + 29n + -29n Combine like terms: 8n + -29n = -21n -10 + -21n = 32 + 29n + -29n Combine like terms: 29n + -29n = 0 -10 + -21n = 32 + 0 -10 + -21n = 32 Add '10' to each side of the equation. -10 + 10 + -21n = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -21n = 32 + 10 -21n = 32 + 10 Combine like terms: 32 + 10 = 42 -21n = 42 Divide each side by '-21'. n = -2 Simplifying n = -2
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