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Simplifying 5(1 + 5n) + -6 = -176 (1 * 5 + 5n * 5) + -6 = -176 (5 + 25n) + -6 = -176 Reorder the terms: 5 + -6 + 25n = -176 Combine like terms: 5 + -6 = -1 -1 + 25n = -176 Solving -1 + 25n = -176 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 25n = -176 + 1 Combine like terms: -1 + 1 = 0 0 + 25n = -176 + 1 25n = -176 + 1 Combine like terms: -176 + 1 = -175 25n = -175 Divide each side by '25'. n = -7 Simplifying n = -7
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