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Simplifying 5(1 + -7n) + 4 = -166 (1 * 5 + -7n * 5) + 4 = -166 (5 + -35n) + 4 = -166 Reorder the terms: 5 + 4 + -35n = -166 Combine like terms: 5 + 4 = 9 9 + -35n = -166 Solving 9 + -35n = -166 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -35n = -166 + -9 Combine like terms: 9 + -9 = 0 0 + -35n = -166 + -9 -35n = -166 + -9 Combine like terms: -166 + -9 = -175 -35n = -175 Divide each side by '-35'. n = 5 Simplifying n = 5
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