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Simplifying 3(7k + -8) + -7k = -12 + 2k Reorder the terms: 3(-8 + 7k) + -7k = -12 + 2k (-8 * 3 + 7k * 3) + -7k = -12 + 2k (-24 + 21k) + -7k = -12 + 2k Combine like terms: 21k + -7k = 14k -24 + 14k = -12 + 2k Solving -24 + 14k = -12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -24 + 14k + -2k = -12 + 2k + -2k Combine like terms: 14k + -2k = 12k -24 + 12k = -12 + 2k + -2k Combine like terms: 2k + -2k = 0 -24 + 12k = -12 + 0 -24 + 12k = -12 Add '24' to each side of the equation. -24 + 24 + 12k = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 12k = -12 + 24 12k = -12 + 24 Combine like terms: -12 + 24 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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