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Simplifying 530 = 12 + (n + -1) * 7 Reorder the terms: 530 = 12 + (-1 + n) * 7 Reorder the terms for easier multiplication: 530 = 12 + 7(-1 + n) 530 = 12 + (-1 * 7 + n * 7) 530 = 12 + (-7 + 7n) Combine like terms: 12 + -7 = 5 530 = 5 + 7n Solving 530 = 5 + 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. 530 + -7n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 530 + -7n = 5 + 0 530 + -7n = 5 Add '-530' to each side of the equation. 530 + -530 + -7n = 5 + -530 Combine like terms: 530 + -530 = 0 0 + -7n = 5 + -530 -7n = 5 + -530 Combine like terms: 5 + -530 = -525 -7n = -525 Divide each side by '-7'. n = 75 Simplifying n = 75
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