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Simplifying 12k + -21 + -8k + -20 = 7 Reorder the terms: -21 + -20 + 12k + -8k = 7 Combine like terms: -21 + -20 = -41 -41 + 12k + -8k = 7 Combine like terms: 12k + -8k = 4k -41 + 4k = 7 Solving -41 + 4k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 4k = 7 + 41 Combine like terms: -41 + 41 = 0 0 + 4k = 7 + 41 4k = 7 + 41 Combine like terms: 7 + 41 = 48 4k = 48 Divide each side by '4'. k = 12 Simplifying k = 12
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