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Simplifying 5(-6 + 2k) + 2 = -7(-6k + 4) + -1k (-6 * 5 + 2k * 5) + 2 = -7(-6k + 4) + -1k (-30 + 10k) + 2 = -7(-6k + 4) + -1k Reorder the terms: -30 + 2 + 10k = -7(-6k + 4) + -1k Combine like terms: -30 + 2 = -28 -28 + 10k = -7(-6k + 4) + -1k Reorder the terms: -28 + 10k = -7(4 + -6k) + -1k -28 + 10k = (4 * -7 + -6k * -7) + -1k -28 + 10k = (-28 + 42k) + -1k Combine like terms: 42k + -1k = 41k -28 + 10k = -28 + 41k Add '28' to each side of the equation. -28 + 28 + 10k = -28 + 28 + 41k Combine like terms: -28 + 28 = 0 0 + 10k = -28 + 28 + 41k 10k = -28 + 28 + 41k Combine like terms: -28 + 28 = 0 10k = 0 + 41k 10k = 41k Solving 10k = 41k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-41k' to each side of the equation. 10k + -41k = 41k + -41k Combine like terms: 10k + -41k = -31k -31k = 41k + -41k Combine like terms: 41k + -41k = 0 -31k = 0 Divide each side by '-31'. k = 0 Simplifying k = 0
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