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Simplifying 38 + -2n = -7(8 + 7n) 38 + -2n = (8 * -7 + 7n * -7) 38 + -2n = (-56 + -49n) Solving 38 + -2n = -56 + -49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '49n' to each side of the equation. 38 + -2n + 49n = -56 + -49n + 49n Combine like terms: -2n + 49n = 47n 38 + 47n = -56 + -49n + 49n Combine like terms: -49n + 49n = 0 38 + 47n = -56 + 0 38 + 47n = -56 Add '-38' to each side of the equation. 38 + -38 + 47n = -56 + -38 Combine like terms: 38 + -38 = 0 0 + 47n = -56 + -38 47n = -56 + -38 Combine like terms: -56 + -38 = -94 47n = -94 Divide each side by '47'. n = -2 Simplifying n = -2
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