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Simplifying 2n + -38 = -2(n + 5) Reorder the terms: -38 + 2n = -2(n + 5) Reorder the terms: -38 + 2n = -2(5 + n) -38 + 2n = (5 * -2 + n * -2) -38 + 2n = (-10 + -2n) Solving -38 + 2n = -10 + -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. -38 + 2n + 2n = -10 + -2n + 2n Combine like terms: 2n + 2n = 4n -38 + 4n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 -38 + 4n = -10 + 0 -38 + 4n = -10 Add '38' to each side of the equation. -38 + 38 + 4n = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 4n = -10 + 38 4n = -10 + 38 Combine like terms: -10 + 38 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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