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Simplifying 2(3k + -5) + 5k = 6k + 12 Reorder the terms: 2(-5 + 3k) + 5k = 6k + 12 (-5 * 2 + 3k * 2) + 5k = 6k + 12 (-10 + 6k) + 5k = 6k + 12 Combine like terms: 6k + 5k = 11k -10 + 11k = 6k + 12 Reorder the terms: -10 + 11k = 12 + 6k Solving -10 + 11k = 12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -10 + 11k + -6k = 12 + 6k + -6k Combine like terms: 11k + -6k = 5k -10 + 5k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + 5k = 12 + 0 -10 + 5k = 12 Add '10' to each side of the equation. -10 + 10 + 5k = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 5k = 12 + 10 5k = 12 + 10 Combine like terms: 12 + 10 = 22 5k = 22 Divide each side by '5'. k = 4.4 Simplifying k = 4.4
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