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Simplifying 38 + -2n = 7(n + 8) Reorder the terms: 38 + -2n = 7(8 + n) 38 + -2n = (8 * 7 + n * 7) 38 + -2n = (56 + 7n) Solving 38 + -2n = 56 + 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 + -2n + -7n = 56 + 7n + -7n Combine like terms: -2n + -7n = -9n 38 + -9n = 56 + 7n + -7n Combine like terms: 7n + -7n = 0 38 + -9n = 56 + 0 38 + -9n = 56 Add '-38' to each side of the equation. 38 + -38 + -9n = 56 + -38 Combine like terms: 38 + -38 = 0 0 + -9n = 56 + -38 -9n = 56 + -38 Combine like terms: 56 + -38 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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