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Simplifying -7 + 8(1 + 2n) = 32 -7 + (1 * 8 + 2n * 8) = 32 -7 + (8 + 16n) = 32 Combine like terms: -7 + 8 = 1 1 + 16n = 32 Solving 1 + 16n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 16n = 32 + -1 Combine like terms: 1 + -1 = 0 0 + 16n = 32 + -1 16n = 32 + -1 Combine like terms: 32 + -1 = 31 16n = 31 Divide each side by '16'. n = 1.9375 Simplifying n = 1.9375
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