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Simplifying -5(n + 7) = -7n + -19 Reorder the terms: -5(7 + n) = -7n + -19 (7 * -5 + n * -5) = -7n + -19 (-35 + -5n) = -7n + -19 Reorder the terms: -35 + -5n = -19 + -7n Solving -35 + -5n = -19 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -35 + -5n + 7n = -19 + -7n + 7n Combine like terms: -5n + 7n = 2n -35 + 2n = -19 + -7n + 7n Combine like terms: -7n + 7n = 0 -35 + 2n = -19 + 0 -35 + 2n = -19 Add '35' to each side of the equation. -35 + 35 + 2n = -19 + 35 Combine like terms: -35 + 35 = 0 0 + 2n = -19 + 35 2n = -19 + 35 Combine like terms: -19 + 35 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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