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Simplifying 3k + 34 = 4(6 + 3k) + 1 Reorder the terms: 34 + 3k = 4(6 + 3k) + 1 34 + 3k = (6 * 4 + 3k * 4) + 1 34 + 3k = (24 + 12k) + 1 Reorder the terms: 34 + 3k = 24 + 1 + 12k Combine like terms: 24 + 1 = 25 34 + 3k = 25 + 12k Solving 34 + 3k = 25 + 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. 34 + 3k + -12k = 25 + 12k + -12k Combine like terms: 3k + -12k = -9k 34 + -9k = 25 + 12k + -12k Combine like terms: 12k + -12k = 0 34 + -9k = 25 + 0 34 + -9k = 25 Add '-34' to each side of the equation. 34 + -34 + -9k = 25 + -34 Combine like terms: 34 + -34 = 0 0 + -9k = 25 + -34 -9k = 25 + -34 Combine like terms: 25 + -34 = -9 -9k = -9 Divide each side by '-9'. k = 1 Simplifying k = 1
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