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Simplifying (4k + -6) * 2 = 100 Reorder the terms: (-6 + 4k) * 2 = 100 Reorder the terms for easier multiplication: 2(-6 + 4k) = 100 (-6 * 2 + 4k * 2) = 100 (-12 + 8k) = 100 Solving -12 + 8k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8k = 100 + 12 Combine like terms: -12 + 12 = 0 0 + 8k = 100 + 12 8k = 100 + 12 Combine like terms: 100 + 12 = 112 8k = 112 Divide each side by '8'. k = 14 Simplifying k = 14
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