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Simplifying 32 + -2k = 2(4 + -7k) 32 + -2k = (4 * 2 + -7k * 2) 32 + -2k = (8 + -14k) Solving 32 + -2k = 8 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 32 + -2k + 14k = 8 + -14k + 14k Combine like terms: -2k + 14k = 12k 32 + 12k = 8 + -14k + 14k Combine like terms: -14k + 14k = 0 32 + 12k = 8 + 0 32 + 12k = 8 Add '-32' to each side of the equation. 32 + -32 + 12k = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 12k = 8 + -32 12k = 8 + -32 Combine like terms: 8 + -32 = -24 12k = -24 Divide each side by '12'. k = -2 Simplifying k = -2
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