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Simplifying 2n + -38 = -4(2 + 7n) Reorder the terms: -38 + 2n = -4(2 + 7n) -38 + 2n = (2 * -4 + 7n * -4) -38 + 2n = (-8 + -28n) Solving -38 + 2n = -8 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -38 + 2n + 28n = -8 + -28n + 28n Combine like terms: 2n + 28n = 30n -38 + 30n = -8 + -28n + 28n Combine like terms: -28n + 28n = 0 -38 + 30n = -8 + 0 -38 + 30n = -8 Add '38' to each side of the equation. -38 + 38 + 30n = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 30n = -8 + 38 30n = -8 + 38 Combine like terms: -8 + 38 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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