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Simplifying -1(2n + 5) = 2n + 19 Reorder the terms: -1(5 + 2n) = 2n + 19 (5 * -1 + 2n * -1) = 2n + 19 (-5 + -2n) = 2n + 19 Reorder the terms: -5 + -2n = 19 + 2n Solving -5 + -2n = 19 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -5 + -2n + -2n = 19 + 2n + -2n Combine like terms: -2n + -2n = -4n -5 + -4n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + -4n = 19 + 0 -5 + -4n = 19 Add '5' to each side of the equation. -5 + 5 + -4n = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = 19 + 5 -4n = 19 + 5 Combine like terms: 19 + 5 = 24 -4n = 24 Divide each side by '-4'. n = -6 Simplifying n = -6
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