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Simplifying 38 + -7n = -7 + 3(1 + -7n) 38 + -7n = -7 + (1 * 3 + -7n * 3) 38 + -7n = -7 + (3 + -21n) Combine like terms: -7 + 3 = -4 38 + -7n = -4 + -21n Solving 38 + -7n = -4 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 38 + -7n + 21n = -4 + -21n + 21n Combine like terms: -7n + 21n = 14n 38 + 14n = -4 + -21n + 21n Combine like terms: -21n + 21n = 0 38 + 14n = -4 + 0 38 + 14n = -4 Add '-38' to each side of the equation. 38 + -38 + 14n = -4 + -38 Combine like terms: 38 + -38 = 0 0 + 14n = -4 + -38 14n = -4 + -38 Combine like terms: -4 + -38 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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