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Simplifying 38 + 7n = -4(1 + -7n) 38 + 7n = (1 * -4 + -7n * -4) 38 + 7n = (-4 + 28n) Solving 38 + 7n = -4 + 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 + 7n + -28n = -4 + 28n + -28n Combine like terms: 7n + -28n = -21n 38 + -21n = -4 + 28n + -28n Combine like terms: 28n + -28n = 0 38 + -21n = -4 + 0 38 + -21n = -4 Add '-38' to each side of the equation. 38 + -38 + -21n = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -21n = -4 + -38 -21n = -4 + -38 Combine like terms: -4 + -38 = -42 -21n = -42 Divide each side by '-21'. n = 2 Simplifying n = 2
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