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Simplifying -5(1 + 5n) + -1 = 3n + -6 (1 * -5 + 5n * -5) + -1 = 3n + -6 (-5 + -25n) + -1 = 3n + -6 Reorder the terms: -5 + -1 + -25n = 3n + -6 Combine like terms: -5 + -1 = -6 -6 + -25n = 3n + -6 Reorder the terms: -6 + -25n = -6 + 3n Add '6' to each side of the equation. -6 + 6 + -25n = -6 + 6 + 3n Combine like terms: -6 + 6 = 0 0 + -25n = -6 + 6 + 3n -25n = -6 + 6 + 3n Combine like terms: -6 + 6 = 0 -25n = 0 + 3n -25n = 3n Solving -25n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -25n + -3n = 3n + -3n Combine like terms: -25n + -3n = -28n -28n = 3n + -3n Combine like terms: 3n + -3n = 0 -28n = 0 Divide each side by '-28'. n = 0 Simplifying n = 0
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