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Simplifying -4K + 10k + -1(-12) = (-3k) + -39 Multiply -1 * -12 -4K + 10k + 12 = (-3k) + -39 Reorder the terms: 12 + -4K + 10k = (-3k) + -39 Reorder the terms: 12 + -4K + 10k = -39 + (-3k) Solving 12 + -4K + 10k = -39 + (-3k) 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 + -4K + -12 + 10k = -39 + -12 + (-3k) Reorder the terms: 12 + -12 + -4K + 10k = -39 + -12 + (-3k) Combine like terms: 12 + -12 = 0 0 + -4K + 10k = -39 + -12 + (-3k) -4K + 10k = -39 + -12 + (-3k) Combine like terms: -39 + -12 = -51 -4K + 10k = -51 + (-3k) Add '-10k' to each side of the equation. -4K + 10k + -10k = -51 + (-3k) + -10k Combine like terms: 10k + -10k = 0 -4K + 0 = -51 + (-3k) + -10k -4K = -51 + (-3k) + -10k Combine like terms: (-3k) + -10k = -13k -4K = -51 + -13k Divide each side by '-4'. K = 12.75 + 3.25k Simplifying K = 12.75 + 3.25k
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