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Simplifying 4(1 + -7n) = -38 + -7n (1 * 4 + -7n * 4) = -38 + -7n (4 + -28n) = -38 + -7n Solving 4 + -28n = -38 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 4 + -28n + 7n = -38 + -7n + 7n Combine like terms: -28n + 7n = -21n 4 + -21n = -38 + -7n + 7n Combine like terms: -7n + 7n = 0 4 + -21n = -38 + 0 4 + -21n = -38 Add '-4' to each side of the equation. 4 + -4 + -21n = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -21n = -38 + -4 -21n = -38 + -4 Combine like terms: -38 + -4 = -42 -21n = -42 Divide each side by '-21'. n = 2 Simplifying n = 2
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