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