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Simplifying 5(k + -5) + -1(6 + -8k) = 12k Reorder the terms: 5(-5 + k) + -1(6 + -8k) = 12k (-5 * 5 + k * 5) + -1(6 + -8k) = 12k (-25 + 5k) + -1(6 + -8k) = 12k -25 + 5k + (6 * -1 + -8k * -1) = 12k -25 + 5k + (-6 + 8k) = 12k Reorder the terms: -25 + -6 + 5k + 8k = 12k Combine like terms: -25 + -6 = -31 -31 + 5k + 8k = 12k Combine like terms: 5k + 8k = 13k -31 + 13k = 12k Solving -31 + 13k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -31 + 13k + -12k = 12k + -12k Combine like terms: 13k + -12k = 1k -31 + 1k = 12k + -12k Combine like terms: 12k + -12k = 0 -31 + 1k = 0 Add '31' to each side of the equation. -31 + 31 + 1k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1k = 0 + 31 1k = 0 + 31 Combine like terms: 0 + 31 = 31 1k = 31 Divide each side by '1'. k = 31 Simplifying k = 31
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