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Simplifying 355 = -5n + -5(8n + -8) Reorder the terms: 355 = -5n + -5(-8 + 8n) 355 = -5n + (-8 * -5 + 8n * -5) 355 = -5n + (40 + -40n) Reorder the terms: 355 = 40 + -5n + -40n Combine like terms: -5n + -40n = -45n 355 = 40 + -45n Solving 355 = 40 + -45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '45n' to each side of the equation. 355 + 45n = 40 + -45n + 45n Combine like terms: -45n + 45n = 0 355 + 45n = 40 + 0 355 + 45n = 40 Add '-355' to each side of the equation. 355 + -355 + 45n = 40 + -355 Combine like terms: 355 + -355 = 0 0 + 45n = 40 + -355 45n = 40 + -355 Combine like terms: 40 + -355 = -315 45n = -315 Divide each side by '45'. n = -7 Simplifying n = -7
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