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Simplifying -19 + 8k = 10k + 15 Reorder the terms: -19 + 8k = 15 + 10k Solving -19 + 8k = 15 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -19 + 8k + -10k = 15 + 10k + -10k Combine like terms: 8k + -10k = -2k -19 + -2k = 15 + 10k + -10k Combine like terms: 10k + -10k = 0 -19 + -2k = 15 + 0 -19 + -2k = 15 Add '19' to each side of the equation. -19 + 19 + -2k = 15 + 19 Combine like terms: -19 + 19 = 0 0 + -2k = 15 + 19 -2k = 15 + 19 Combine like terms: 15 + 19 = 34 -2k = 34 Divide each side by '-2'. k = -17 Simplifying k = -17
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