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Simplifying -117 = 7(4n + 4) + -5 Reorder the terms: -117 = 7(4 + 4n) + -5 -117 = (4 * 7 + 4n * 7) + -5 -117 = (28 + 28n) + -5 Reorder the terms: -117 = 28 + -5 + 28n Combine like terms: 28 + -5 = 23 -117 = 23 + 28n Solving -117 = 23 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -117 + -28n = 23 + 28n + -28n Combine like terms: 28n + -28n = 0 -117 + -28n = 23 + 0 -117 + -28n = 23 Add '117' to each side of the equation. -117 + 117 + -28n = 23 + 117 Combine like terms: -117 + 117 = 0 0 + -28n = 23 + 117 -28n = 23 + 117 Combine like terms: 23 + 117 = 140 -28n = 140 Divide each side by '-28'. n = -5 Simplifying n = -5
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