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Simplifying -4 + 8(5n + 4) = -9 + 3n Reorder the terms: -4 + 8(4 + 5n) = -9 + 3n -4 + (4 * 8 + 5n * 8) = -9 + 3n -4 + (32 + 40n) = -9 + 3n Combine like terms: -4 + 32 = 28 28 + 40n = -9 + 3n Solving 28 + 40n = -9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 28 + 40n + -3n = -9 + 3n + -3n Combine like terms: 40n + -3n = 37n 28 + 37n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 28 + 37n = -9 + 0 28 + 37n = -9 Add '-28' to each side of the equation. 28 + -28 + 37n = -9 + -28 Combine like terms: 28 + -28 = 0 0 + 37n = -9 + -28 37n = -9 + -28 Combine like terms: -9 + -28 = -37 37n = -37 Divide each side by '37'. n = -1 Simplifying n = -1
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