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Simplifying 7(6n + 6) + 5n = -38 + 7n Reorder the terms: 7(6 + 6n) + 5n = -38 + 7n (6 * 7 + 6n * 7) + 5n = -38 + 7n (42 + 42n) + 5n = -38 + 7n Combine like terms: 42n + 5n = 47n 42 + 47n = -38 + 7n Solving 42 + 47n = -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. 42 + 47n + -7n = -38 + 7n + -7n Combine like terms: 47n + -7n = 40n 42 + 40n = -38 + 7n + -7n Combine like terms: 7n + -7n = 0 42 + 40n = -38 + 0 42 + 40n = -38 Add '-42' to each side of the equation. 42 + -42 + 40n = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 40n = -38 + -42 40n = -38 + -42 Combine like terms: -38 + -42 = -80 40n = -80 Divide each side by '40'. n = -2 Simplifying n = -2
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