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Simplifying 3n + -4(3n + -7) = 100 Reorder the terms: 3n + -4(-7 + 3n) = 100 3n + (-7 * -4 + 3n * -4) = 100 3n + (28 + -12n) = 100 Reorder the terms: 28 + 3n + -12n = 100 Combine like terms: 3n + -12n = -9n 28 + -9n = 100 Solving 28 + -9n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -9n = 100 + -28 Combine like terms: 28 + -28 = 0 0 + -9n = 100 + -28 -9n = 100 + -28 Combine like terms: 100 + -28 = 72 -9n = 72 Divide each side by '-9'. n = -8 Simplifying n = -8
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