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Simplifying -174 = 7(4 + 7n) + -6 -174 = (4 * 7 + 7n * 7) + -6 -174 = (28 + 49n) + -6 Reorder the terms: -174 = 28 + -6 + 49n Combine like terms: 28 + -6 = 22 -174 = 22 + 49n Solving -174 = 22 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. -174 + -49n = 22 + 49n + -49n Combine like terms: 49n + -49n = 0 -174 + -49n = 22 + 0 -174 + -49n = 22 Add '174' to each side of the equation. -174 + 174 + -49n = 22 + 174 Combine like terms: -174 + 174 = 0 0 + -49n = 22 + 174 -49n = 22 + 174 Combine like terms: 22 + 174 = 196 -49n = 196 Divide each side by '-49'. n = -4 Simplifying n = -4
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