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Simplifying 38 + -3n = -8(1 + 7n) + 7n 38 + -3n = (1 * -8 + 7n * -8) + 7n 38 + -3n = (-8 + -56n) + 7n Combine like terms: -56n + 7n = -49n 38 + -3n = -8 + -49n Solving 38 + -3n = -8 + -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 + -3n + 49n = -8 + -49n + 49n Combine like terms: -3n + 49n = 46n 38 + 46n = -8 + -49n + 49n Combine like terms: -49n + 49n = 0 38 + 46n = -8 + 0 38 + 46n = -8 Add '-38' to each side of the equation. 38 + -38 + 46n = -8 + -38 Combine like terms: 38 + -38 = 0 0 + 46n = -8 + -38 46n = -8 + -38 Combine like terms: -8 + -38 = -46 46n = -46 Divide each side by '46'. n = -1 Simplifying n = -1
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