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Simplifying 4(3n + 2) = 4(-8 + -7n) Reorder the terms: 4(2 + 3n) = 4(-8 + -7n) (2 * 4 + 3n * 4) = 4(-8 + -7n) (8 + 12n) = 4(-8 + -7n) 8 + 12n = (-8 * 4 + -7n * 4) 8 + 12n = (-32 + -28n) Solving 8 + 12n = -32 + -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 + 12n + 28n = -32 + -28n + 28n Combine like terms: 12n + 28n = 40n 8 + 40n = -32 + -28n + 28n Combine like terms: -28n + 28n = 0 8 + 40n = -32 + 0 8 + 40n = -32 Add '-8' to each side of the equation. 8 + -8 + 40n = -32 + -8 Combine like terms: 8 + -8 = 0 0 + 40n = -32 + -8 40n = -32 + -8 Combine like terms: -32 + -8 = -40 40n = -40 Divide each side by '40'. n = -1 Simplifying n = -1
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