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Simplifying 100 = 3(5 + -7n) + 1 100 = (5 * 3 + -7n * 3) + 1 100 = (15 + -21n) + 1 Reorder the terms: 100 = 15 + 1 + -21n Combine like terms: 15 + 1 = 16 100 = 16 + -21n Solving 100 = 16 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 100 + 21n = 16 + -21n + 21n Combine like terms: -21n + 21n = 0 100 + 21n = 16 + 0 100 + 21n = 16 Add '-100' to each side of the equation. 100 + -100 + 21n = 16 + -100 Combine like terms: 100 + -100 = 0 0 + 21n = 16 + -100 21n = 16 + -100 Combine like terms: 16 + -100 = -84 21n = -84 Divide each side by '21'. n = -4 Simplifying n = -4
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