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Simplifying 2 + 5k + -8 = 4(2k + 3) + -5 + 2 Reorder the terms: 2 + -8 + 5k = 4(2k + 3) + -5 + 2 Combine like terms: 2 + -8 = -6 -6 + 5k = 4(2k + 3) + -5 + 2 Reorder the terms: -6 + 5k = 4(3 + 2k) + -5 + 2 -6 + 5k = (3 * 4 + 2k * 4) + -5 + 2 -6 + 5k = (12 + 8k) + -5 + 2 Reorder the terms: -6 + 5k = 12 + -5 + 2 + 8k Combine like terms: 12 + -5 = 7 -6 + 5k = 7 + 2 + 8k Combine like terms: 7 + 2 = 9 -6 + 5k = 9 + 8k Solving -6 + 5k = 9 + 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. -6 + 5k + -8k = 9 + 8k + -8k Combine like terms: 5k + -8k = -3k -6 + -3k = 9 + 8k + -8k Combine like terms: 8k + -8k = 0 -6 + -3k = 9 + 0 -6 + -3k = 9 Add '6' to each side of the equation. -6 + 6 + -3k = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3k = 9 + 6 -3k = 9 + 6 Combine like terms: 9 + 6 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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