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Simplifying 2k + 4 = 2(6k + -12) + 58 Reorder the terms: 4 + 2k = 2(6k + -12) + 58 Reorder the terms: 4 + 2k = 2(-12 + 6k) + 58 4 + 2k = (-12 * 2 + 6k * 2) + 58 4 + 2k = (-24 + 12k) + 58 Reorder the terms: 4 + 2k = -24 + 58 + 12k Combine like terms: -24 + 58 = 34 4 + 2k = 34 + 12k Solving 4 + 2k = 34 + 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. 4 + 2k + -12k = 34 + 12k + -12k Combine like terms: 2k + -12k = -10k 4 + -10k = 34 + 12k + -12k Combine like terms: 12k + -12k = 0 4 + -10k = 34 + 0 4 + -10k = 34 Add '-4' to each side of the equation. 4 + -4 + -10k = 34 + -4 Combine like terms: 4 + -4 = 0 0 + -10k = 34 + -4 -10k = 34 + -4 Combine like terms: 34 + -4 = 30 -10k = 30 Divide each side by '-10'. k = -3 Simplifying k = -3
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