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Simplifying 8k + -3 + 3k + -15 = 6k + 7 Reorder the terms: -3 + -15 + 8k + 3k = 6k + 7 Combine like terms: -3 + -15 = -18 -18 + 8k + 3k = 6k + 7 Combine like terms: 8k + 3k = 11k -18 + 11k = 6k + 7 Reorder the terms: -18 + 11k = 7 + 6k Solving -18 + 11k = 7 + 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. -18 + 11k + -6k = 7 + 6k + -6k Combine like terms: 11k + -6k = 5k -18 + 5k = 7 + 6k + -6k Combine like terms: 6k + -6k = 0 -18 + 5k = 7 + 0 -18 + 5k = 7 Add '18' to each side of the equation. -18 + 18 + 5k = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 5k = 7 + 18 5k = 7 + 18 Combine like terms: 7 + 18 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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