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Simplifying -7(n + -6) + 2 = 100 Reorder the terms: -7(-6 + n) + 2 = 100 (-6 * -7 + n * -7) + 2 = 100 (42 + -7n) + 2 = 100 Reorder the terms: 42 + 2 + -7n = 100 Combine like terms: 42 + 2 = 44 44 + -7n = 100 Solving 44 + -7n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -7n = 100 + -44 Combine like terms: 44 + -44 = 0 0 + -7n = 100 + -44 -7n = 100 + -44 Combine like terms: 100 + -44 = 56 -7n = 56 Divide each side by '-7'. n = -8 Simplifying n = -8
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