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Simplifying 53 = -2 + -1(1 + -7n) 53 = -2 + (1 * -1 + -7n * -1) 53 = -2 + (-1 + 7n) Combine like terms: -2 + -1 = -3 53 = -3 + 7n Solving 53 = -3 + 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. 53 + -7n = -3 + 7n + -7n Combine like terms: 7n + -7n = 0 53 + -7n = -3 + 0 53 + -7n = -3 Add '-53' to each side of the equation. 53 + -53 + -7n = -3 + -53 Combine like terms: 53 + -53 = 0 0 + -7n = -3 + -53 -7n = -3 + -53 Combine like terms: -3 + -53 = -56 -7n = -56 Divide each side by '-7'. n = 8 Simplifying n = 8
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