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Simplifying 38 = 7(-6n + 5) + -5(5 + -7n) Reorder the terms: 38 = 7(5 + -6n) + -5(5 + -7n) 38 = (5 * 7 + -6n * 7) + -5(5 + -7n) 38 = (35 + -42n) + -5(5 + -7n) 38 = 35 + -42n + (5 * -5 + -7n * -5) 38 = 35 + -42n + (-25 + 35n) Reorder the terms: 38 = 35 + -25 + -42n + 35n Combine like terms: 35 + -25 = 10 38 = 10 + -42n + 35n Combine like terms: -42n + 35n = -7n 38 = 10 + -7n Solving 38 = 10 + -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. 38 + 7n = 10 + -7n + 7n Combine like terms: -7n + 7n = 0 38 + 7n = 10 + 0 38 + 7n = 10 Add '-38' to each side of the equation. 38 + -38 + 7n = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 7n = 10 + -38 7n = 10 + -38 Combine like terms: 10 + -38 = -28 7n = -28 Divide each side by '7'. n = -4 Simplifying n = -4
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