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Simplifying 5(2k + -6) + 7 = 8k + -4 Reorder the terms: 5(-6 + 2k) + 7 = 8k + -4 (-6 * 5 + 2k * 5) + 7 = 8k + -4 (-30 + 10k) + 7 = 8k + -4 Reorder the terms: -30 + 7 + 10k = 8k + -4 Combine like terms: -30 + 7 = -23 -23 + 10k = 8k + -4 Reorder the terms: -23 + 10k = -4 + 8k Solving -23 + 10k = -4 + 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. -23 + 10k + -8k = -4 + 8k + -8k Combine like terms: 10k + -8k = 2k -23 + 2k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 -23 + 2k = -4 + 0 -23 + 2k = -4 Add '23' to each side of the equation. -23 + 23 + 2k = -4 + 23 Combine like terms: -23 + 23 = 0 0 + 2k = -4 + 23 2k = -4 + 23 Combine like terms: -4 + 23 = 19 2k = 19 Divide each side by '2'. k = 9.5 Simplifying k = 9.5
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