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Simplifying -10k + -6 = 6(-1k + -1) + -9k Reorder the terms: -6 + -10k = 6(-1k + -1) + -9k Reorder the terms: -6 + -10k = 6(-1 + -1k) + -9k -6 + -10k = (-1 * 6 + -1k * 6) + -9k -6 + -10k = (-6 + -6k) + -9k Combine like terms: -6k + -9k = -15k -6 + -10k = -6 + -15k Add '6' to each side of the equation. -6 + 6 + -10k = -6 + 6 + -15k Combine like terms: -6 + 6 = 0 0 + -10k = -6 + 6 + -15k -10k = -6 + 6 + -15k Combine like terms: -6 + 6 = 0 -10k = 0 + -15k -10k = -15k Solving -10k = -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -10k + 15k = -15k + 15k Combine like terms: -10k + 15k = 5k 5k = -15k + 15k Combine like terms: -15k + 15k = 0 5k = 0 Divide each side by '5'. k = 0 Simplifying k = 0
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