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Simplifying 17 = -4 + 7(n + -9) Reorder the terms: 17 = -4 + 7(-9 + n) 17 = -4 + (-9 * 7 + n * 7) 17 = -4 + (-63 + 7n) Combine like terms: -4 + -63 = -67 17 = -67 + 7n Solving 17 = -67 + 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. 17 + -7n = -67 + 7n + -7n Combine like terms: 7n + -7n = 0 17 + -7n = -67 + 0 17 + -7n = -67 Add '-17' to each side of the equation. 17 + -17 + -7n = -67 + -17 Combine like terms: 17 + -17 = 0 0 + -7n = -67 + -17 -7n = -67 + -17 Combine like terms: -67 + -17 = -84 -7n = -84 Divide each side by '-7'. n = 12 Simplifying n = 12
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