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Simplifying 175 = -3n + -5(-7n + -3) Reorder the terms: 175 = -3n + -5(-3 + -7n) 175 = -3n + (-3 * -5 + -7n * -5) 175 = -3n + (15 + 35n) Reorder the terms: 175 = 15 + -3n + 35n Combine like terms: -3n + 35n = 32n 175 = 15 + 32n Solving 175 = 15 + 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. 175 + -32n = 15 + 32n + -32n Combine like terms: 32n + -32n = 0 175 + -32n = 15 + 0 175 + -32n = 15 Add '-175' to each side of the equation. 175 + -175 + -32n = 15 + -175 Combine like terms: 175 + -175 = 0 0 + -32n = 15 + -175 -32n = 15 + -175 Combine like terms: 15 + -175 = -160 -32n = -160 Divide each side by '-32'. n = 5 Simplifying n = 5
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