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Simplifying 3(4K + -7) + 13k + -10 = 0 Reorder the terms: 3(-7 + 4K) + 13k + -10 = 0 (-7 * 3 + 4K * 3) + 13k + -10 = 0 (-21 + 12K) + 13k + -10 = 0 Reorder the terms: -21 + -10 + 12K + 13k = 0 Combine like terms: -21 + -10 = -31 -31 + 12K + 13k = 0 Solving -31 + 12K + 13k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 12K + 31 + 13k = 0 + 31 Reorder the terms: -31 + 31 + 12K + 13k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 12K + 13k = 0 + 31 12K + 13k = 0 + 31 Combine like terms: 0 + 31 = 31 12K + 13k = 31 Add '-13k' to each side of the equation. 12K + 13k + -13k = 31 + -13k Combine like terms: 13k + -13k = 0 12K + 0 = 31 + -13k 12K = 31 + -13k Divide each side by '12'. K = 2.583333333 + -1.083333333k Simplifying K = 2.583333333 + -1.083333333k
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