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Simplifying 2k + 3 = 2(4k + -14) + 67 Reorder the terms: 3 + 2k = 2(4k + -14) + 67 Reorder the terms: 3 + 2k = 2(-14 + 4k) + 67 3 + 2k = (-14 * 2 + 4k * 2) + 67 3 + 2k = (-28 + 8k) + 67 Reorder the terms: 3 + 2k = -28 + 67 + 8k Combine like terms: -28 + 67 = 39 3 + 2k = 39 + 8k Solving 3 + 2k = 39 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 3 + 2k + -8k = 39 + 8k + -8k Combine like terms: 2k + -8k = -6k 3 + -6k = 39 + 8k + -8k Combine like terms: 8k + -8k = 0 3 + -6k = 39 + 0 3 + -6k = 39 Add '-3' to each side of the equation. 3 + -3 + -6k = 39 + -3 Combine like terms: 3 + -3 = 0 0 + -6k = 39 + -3 -6k = 39 + -3 Combine like terms: 39 + -3 = 36 -6k = 36 Divide each side by '-6'. k = -6 Simplifying k = -6
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