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Simplifying 38 + 29 + -7(5n + -2) = 3 + 4(n + 10) Reorder the terms: 38 + 29 + -7(-2 + 5n) = 3 + 4(n + 10) 38 + 29 + (-2 * -7 + 5n * -7) = 3 + 4(n + 10) 38 + 29 + (14 + -35n) = 3 + 4(n + 10) Combine like terms: 38 + 29 = 67 67 + 14 + -35n = 3 + 4(n + 10) Combine like terms: 67 + 14 = 81 81 + -35n = 3 + 4(n + 10) Reorder the terms: 81 + -35n = 3 + 4(10 + n) 81 + -35n = 3 + (10 * 4 + n * 4) 81 + -35n = 3 + (40 + 4n) Combine like terms: 3 + 40 = 43 81 + -35n = 43 + 4n Solving 81 + -35n = 43 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 81 + -35n + -4n = 43 + 4n + -4n Combine like terms: -35n + -4n = -39n 81 + -39n = 43 + 4n + -4n Combine like terms: 4n + -4n = 0 81 + -39n = 43 + 0 81 + -39n = 43 Add '-81' to each side of the equation. 81 + -81 + -39n = 43 + -81 Combine like terms: 81 + -81 = 0 0 + -39n = 43 + -81 -39n = 43 + -81 Combine like terms: 43 + -81 = -38 -39n = -38 Divide each side by '-39'. n = 0.9743589744 Simplifying n = 0.9743589744
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