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Simplifying -7n + 38 = -6(7n + -1) + -3 Reorder the terms: 38 + -7n = -6(7n + -1) + -3 Reorder the terms: 38 + -7n = -6(-1 + 7n) + -3 38 + -7n = (-1 * -6 + 7n * -6) + -3 38 + -7n = (6 + -42n) + -3 Reorder the terms: 38 + -7n = 6 + -3 + -42n Combine like terms: 6 + -3 = 3 38 + -7n = 3 + -42n Solving 38 + -7n = 3 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 38 + -7n + 42n = 3 + -42n + 42n Combine like terms: -7n + 42n = 35n 38 + 35n = 3 + -42n + 42n Combine like terms: -42n + 42n = 0 38 + 35n = 3 + 0 38 + 35n = 3 Add '-38' to each side of the equation. 38 + -38 + 35n = 3 + -38 Combine like terms: 38 + -38 = 0 0 + 35n = 3 + -38 35n = 3 + -38 Combine like terms: 3 + -38 = -35 35n = -35 Divide each side by '35'. n = -1 Simplifying n = -1
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