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Simplifying -4(-3 + -7n) + -2 = 178 (-3 * -4 + -7n * -4) + -2 = 178 (12 + 28n) + -2 = 178 Reorder the terms: 12 + -2 + 28n = 178 Combine like terms: 12 + -2 = 10 10 + 28n = 178 Solving 10 + 28n = 178 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 28n = 178 + -10 Combine like terms: 10 + -10 = 0 0 + 28n = 178 + -10 28n = 178 + -10 Combine like terms: 178 + -10 = 168 28n = 168 Divide each side by '28'. n = 6 Simplifying n = 6
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