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Simplifying 254 = -7n + -5(2 + -8n) 254 = -7n + (2 * -5 + -8n * -5) 254 = -7n + (-10 + 40n) Reorder the terms: 254 = -10 + -7n + 40n Combine like terms: -7n + 40n = 33n 254 = -10 + 33n Solving 254 = -10 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. 254 + -33n = -10 + 33n + -33n Combine like terms: 33n + -33n = 0 254 + -33n = -10 + 0 254 + -33n = -10 Add '-254' to each side of the equation. 254 + -254 + -33n = -10 + -254 Combine like terms: 254 + -254 = 0 0 + -33n = -10 + -254 -33n = -10 + -254 Combine like terms: -10 + -254 = -264 -33n = -264 Divide each side by '-33'. n = 8 Simplifying n = 8
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