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Simplifying 38 + -2n = -8(-1 + 4n) 38 + -2n = (-1 * -8 + 4n * -8) 38 + -2n = (8 + -32n) Solving 38 + -2n = 8 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 38 + -2n + 32n = 8 + -32n + 32n Combine like terms: -2n + 32n = 30n 38 + 30n = 8 + -32n + 32n Combine like terms: -32n + 32n = 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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