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