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Simplifying -8(4 + -6k) + 2 = 100 (4 * -8 + -6k * -8) + 2 = 100 (-32 + 48k) + 2 = 100 Reorder the terms: -32 + 2 + 48k = 100 Combine like terms: -32 + 2 = -30 -30 + 48k = 100 Solving -30 + 48k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 48k = 100 + 30 Combine like terms: -30 + 30 = 0 0 + 48k = 100 + 30 48k = 100 + 30 Combine like terms: 100 + 30 = 130 48k = 130 Divide each side by '48'. k = 2.708333333 Simplifying k = 2.708333333
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