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Simplifying -285 = 7(5n + 5) + 5n Reorder the terms: -285 = 7(5 + 5n) + 5n -285 = (5 * 7 + 5n * 7) + 5n -285 = (35 + 35n) + 5n Combine like terms: 35n + 5n = 40n -285 = 35 + 40n Solving -285 = 35 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -285 + -40n = 35 + 40n + -40n Combine like terms: 40n + -40n = 0 -285 + -40n = 35 + 0 -285 + -40n = 35 Add '285' to each side of the equation. -285 + 285 + -40n = 35 + 285 Combine like terms: -285 + 285 = 0 0 + -40n = 35 + 285 -40n = 35 + 285 Combine like terms: 35 + 285 = 320 -40n = 320 Divide each side by '-40'. n = -8 Simplifying n = -8
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