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Simplifying 84 = 3(-4 + 8n) 84 = (-4 * 3 + 8n * 3) 84 = (-12 + 24n) Solving 84 = -12 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 84 + -24n = -12 + 24n + -24n Combine like terms: 24n + -24n = 0 84 + -24n = -12 + 0 84 + -24n = -12 Add '-84' to each side of the equation. 84 + -84 + -24n = -12 + -84 Combine like terms: 84 + -84 = 0 0 + -24n = -12 + -84 -24n = -12 + -84 Combine like terms: -12 + -84 = -96 -24n = -96 Divide each side by '-24'. n = 4 Simplifying n = 4
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