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Simplifying -4n + -4(-4 + 6n) = 8(8 + -4n) -4n + (-4 * -4 + 6n * -4) = 8(8 + -4n) -4n + (16 + -24n) = 8(8 + -4n) Reorder the terms: 16 + -4n + -24n = 8(8 + -4n) Combine like terms: -4n + -24n = -28n 16 + -28n = 8(8 + -4n) 16 + -28n = (8 * 8 + -4n * 8) 16 + -28n = (64 + -32n) Solving 16 + -28n = 64 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 16 + -28n + 32n = 64 + -32n + 32n Combine like terms: -28n + 32n = 4n 16 + 4n = 64 + -32n + 32n Combine like terms: -32n + 32n = 0 16 + 4n = 64 + 0 16 + 4n = 64 Add '-16' to each side of the equation. 16 + -16 + 4n = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 4n = 64 + -16 4n = 64 + -16 Combine like terms: 64 + -16 = 48 4n = 48 Divide each side by '4'. n = 12 Simplifying n = 12
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