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Simplifying 3 + -9k + -19 = -7 + -10k Reorder the terms: 3 + -19 + -9k = -7 + -10k Combine like terms: 3 + -19 = -16 -16 + -9k = -7 + -10k Solving -16 + -9k = -7 + -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. -16 + -9k + 10k = -7 + -10k + 10k Combine like terms: -9k + 10k = 1k -16 + 1k = -7 + -10k + 10k Combine like terms: -10k + 10k = 0 -16 + 1k = -7 + 0 -16 + 1k = -7 Add '16' to each side of the equation. -16 + 16 + 1k = -7 + 16 Combine like terms: -16 + 16 = 0 0 + 1k = -7 + 16 1k = -7 + 16 Combine like terms: -7 + 16 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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