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Simplifying 174 = 6(-7n + -6) Reorder the terms: 174 = 6(-6 + -7n) 174 = (-6 * 6 + -7n * 6) 174 = (-36 + -42n) Solving 174 = -36 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 174 + 42n = -36 + -42n + 42n Combine like terms: -42n + 42n = 0 174 + 42n = -36 + 0 174 + 42n = -36 Add '-174' to each side of the equation. 174 + -174 + 42n = -36 + -174 Combine like terms: 174 + -174 = 0 0 + 42n = -36 + -174 42n = -36 + -174 Combine like terms: -36 + -174 = -210 42n = -210 Divide each side by '42'. n = -5 Simplifying n = -5
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