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Simplifying -96 = 2 + -7(2 + -4n) -96 = 2 + (2 * -7 + -4n * -7) -96 = 2 + (-14 + 28n) Combine like terms: 2 + -14 = -12 -96 = -12 + 28n Solving -96 = -12 + 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. -96 + -28n = -12 + 28n + -28n Combine like terms: 28n + -28n = 0 -96 + -28n = -12 + 0 -96 + -28n = -12 Add '96' to each side of the equation. -96 + 96 + -28n = -12 + 96 Combine like terms: -96 + 96 = 0 0 + -28n = -12 + 96 -28n = -12 + 96 Combine like terms: -12 + 96 = 84 -28n = 84 Divide each side by '-28'. n = -3 Simplifying n = -3
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