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Simplifying -5(5n + 7) = -6n + -35 Reorder the terms: -5(7 + 5n) = -6n + -35 (7 * -5 + 5n * -5) = -6n + -35 (-35 + -25n) = -6n + -35 Reorder the terms: -35 + -25n = -35 + -6n Add '35' to each side of the equation. -35 + 35 + -25n = -35 + 35 + -6n Combine like terms: -35 + 35 = 0 0 + -25n = -35 + 35 + -6n -25n = -35 + 35 + -6n Combine like terms: -35 + 35 = 0 -25n = 0 + -6n -25n = -6n Solving -25n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -25n + 6n = -6n + 6n Combine like terms: -25n + 6n = -19n -19n = -6n + 6n Combine like terms: -6n + 6n = 0 -19n = 0 Divide each side by '-19'. n = 0 Simplifying n = 0
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