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Simplifying -219 = 5(1 + 7n) + -3n -219 = (1 * 5 + 7n * 5) + -3n -219 = (5 + 35n) + -3n Combine like terms: 35n + -3n = 32n -219 = 5 + 32n Solving -219 = 5 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -219 + -32n = 5 + 32n + -32n Combine like terms: 32n + -32n = 0 -219 + -32n = 5 + 0 -219 + -32n = 5 Add '219' to each side of the equation. -219 + 219 + -32n = 5 + 219 Combine like terms: -219 + 219 = 0 0 + -32n = 5 + 219 -32n = 5 + 219 Combine like terms: 5 + 219 = 224 -32n = 224 Divide each side by '-32'. n = -7 Simplifying n = -7
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