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Simplifying 12 + -13k = 3(1 + -4k) 12 + -13k = (1 * 3 + -4k * 3) 12 + -13k = (3 + -12k) Solving 12 + -13k = 3 + -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. 12 + -13k + 12k = 3 + -12k + 12k Combine like terms: -13k + 12k = -1k 12 + -1k = 3 + -12k + 12k Combine like terms: -12k + 12k = 0 12 + -1k = 3 + 0 12 + -1k = 3 Add '-12' to each side of the equation. 12 + -12 + -1k = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 3 + -12 -1k = 3 + -12 Combine like terms: 3 + -12 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9
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