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Simplifying 5k + 5 = 2(6k + -14) + 68 Reorder the terms: 5 + 5k = 2(6k + -14) + 68 Reorder the terms: 5 + 5k = 2(-14 + 6k) + 68 5 + 5k = (-14 * 2 + 6k * 2) + 68 5 + 5k = (-28 + 12k) + 68 Reorder the terms: 5 + 5k = -28 + 68 + 12k Combine like terms: -28 + 68 = 40 5 + 5k = 40 + 12k Solving 5 + 5k = 40 + 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. 5 + 5k + -12k = 40 + 12k + -12k Combine like terms: 5k + -12k = -7k 5 + -7k = 40 + 12k + -12k Combine like terms: 12k + -12k = 0 5 + -7k = 40 + 0 5 + -7k = 40 Add '-5' to each side of the equation. 5 + -5 + -7k = 40 + -5 Combine like terms: 5 + -5 = 0 0 + -7k = 40 + -5 -7k = 40 + -5 Combine like terms: 40 + -5 = 35 -7k = 35 Divide each side by '-7'. k = -5 Simplifying k = -5
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