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Simplifying 8 = 4(-3n + -4) + -8(4 + -5n) Reorder the terms: 8 = 4(-4 + -3n) + -8(4 + -5n) 8 = (-4 * 4 + -3n * 4) + -8(4 + -5n) 8 = (-16 + -12n) + -8(4 + -5n) 8 = -16 + -12n + (4 * -8 + -5n * -8) 8 = -16 + -12n + (-32 + 40n) Reorder the terms: 8 = -16 + -32 + -12n + 40n Combine like terms: -16 + -32 = -48 8 = -48 + -12n + 40n Combine like terms: -12n + 40n = 28n 8 = -48 + 28n Solving 8 = -48 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 8 + -28n = -48 + 28n + -28n Combine like terms: 28n + -28n = 0 8 + -28n = -48 + 0 8 + -28n = -48 Add '-8' to each side of the equation. 8 + -8 + -28n = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -28n = -48 + -8 -28n = -48 + -8 Combine like terms: -48 + -8 = -56 -28n = -56 Divide each side by '-28'. n = 2 Simplifying n = 2
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