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Simplifying 2(k + -6) + -7(12 + 2k) = 7k + -11k Reorder the terms: 2(-6 + k) + -7(12 + 2k) = 7k + -11k (-6 * 2 + k * 2) + -7(12 + 2k) = 7k + -11k (-12 + 2k) + -7(12 + 2k) = 7k + -11k -12 + 2k + (12 * -7 + 2k * -7) = 7k + -11k -12 + 2k + (-84 + -14k) = 7k + -11k Reorder the terms: -12 + -84 + 2k + -14k = 7k + -11k Combine like terms: -12 + -84 = -96 -96 + 2k + -14k = 7k + -11k Combine like terms: 2k + -14k = -12k -96 + -12k = 7k + -11k Combine like terms: 7k + -11k = -4k -96 + -12k = -4k Solving -96 + -12k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -96 + -12k + 4k = -4k + 4k Combine like terms: -12k + 4k = -8k -96 + -8k = -4k + 4k Combine like terms: -4k + 4k = 0 -96 + -8k = 0 Add '96' to each side of the equation. -96 + 96 + -8k = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -8k = 0 + 96 -8k = 0 + 96 Combine like terms: 0 + 96 = 96 -8k = 96 Divide each side by '-8'. k = -12 Simplifying k = -12
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