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Simplifying 4n + 38 = -3(n + -1) Reorder the terms: 38 + 4n = -3(n + -1) Reorder the terms: 38 + 4n = -3(-1 + n) 38 + 4n = (-1 * -3 + n * -3) 38 + 4n = (3 + -3n) Solving 38 + 4n = 3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 38 + 4n + 3n = 3 + -3n + 3n Combine like terms: 4n + 3n = 7n 38 + 7n = 3 + -3n + 3n Combine like terms: -3n + 3n = 0 38 + 7n = 3 + 0 38 + 7n = 3 Add '-38' to each side of the equation. 38 + -38 + 7n = 3 + -38 Combine like terms: 38 + -38 = 0 0 + 7n = 3 + -38 7n = 3 + -38 Combine like terms: 3 + -38 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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