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Simplifying 13k + -1 = 3(4k + 3) Reorder the terms: -1 + 13k = 3(4k + 3) Reorder the terms: -1 + 13k = 3(3 + 4k) -1 + 13k = (3 * 3 + 4k * 3) -1 + 13k = (9 + 12k) Solving -1 + 13k = 9 + 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. -1 + 13k + -12k = 9 + 12k + -12k Combine like terms: 13k + -12k = 1k -1 + 1k = 9 + 12k + -12k Combine like terms: 12k + -12k = 0 -1 + 1k = 9 + 0 -1 + 1k = 9 Add '1' to each side of the equation. -1 + 1 + 1k = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 1k = 9 + 1 1k = 9 + 1 Combine like terms: 9 + 1 = 10 1k = 10 Divide each side by '1'. k = 10 Simplifying k = 10
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