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Simplifying -7(4n + -7) + -4 = 101 Reorder the terms: -7(-7 + 4n) + -4 = 101 (-7 * -7 + 4n * -7) + -4 = 101 (49 + -28n) + -4 = 101 Reorder the terms: 49 + -4 + -28n = 101 Combine like terms: 49 + -4 = 45 45 + -28n = 101 Solving 45 + -28n = 101 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -28n = 101 + -45 Combine like terms: 45 + -45 = 0 0 + -28n = 101 + -45 -28n = 101 + -45 Combine like terms: 101 + -45 = 56 -28n = 56 Divide each side by '-28'. n = -2 Simplifying n = -2
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