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Simplifying 567 = 7n + -7(-7 + -1) Combine like terms: -7 + -1 = -8 567 = 7n + -7(-8) Multiply -7 * -8 567 = 7n + 56 Reorder the terms: 567 = 56 + 7n Solving 567 = 56 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 567 + -7n = 56 + 7n + -7n Combine like terms: 7n + -7n = 0 567 + -7n = 56 + 0 567 + -7n = 56 Add '-567' to each side of the equation. 567 + -567 + -7n = 56 + -567 Combine like terms: 567 + -567 = 0 0 + -7n = 56 + -567 -7n = 56 + -567 Combine like terms: 56 + -567 = -511 -7n = -511 Divide each side by '-7'. n = 73 Simplifying n = 73
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