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Simplifying 16(n + 8) = 3(40 + 5n) Reorder the terms: 16(8 + n) = 3(40 + 5n) (8 * 16 + n * 16) = 3(40 + 5n) (128 + 16n) = 3(40 + 5n) 128 + 16n = (40 * 3 + 5n * 3) 128 + 16n = (120 + 15n) Solving 128 + 16n = 120 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 128 + 16n + -15n = 120 + 15n + -15n Combine like terms: 16n + -15n = 1n 128 + 1n = 120 + 15n + -15n Combine like terms: 15n + -15n = 0 128 + 1n = 120 + 0 128 + 1n = 120 Add '-128' to each side of the equation. 128 + -128 + 1n = 120 + -128 Combine like terms: 128 + -128 = 0 0 + 1n = 120 + -128 1n = 120 + -128 Combine like terms: 120 + -128 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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