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Simplifying 3K + 10 = 2K + (-21) Reorder the terms: 10 + 3K = 2K + (-21) 10 + 3K = 2K + -21 Reorder the terms: 10 + 3K = -21 + 2K Solving 10 + 3K = -21 + 2K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-2K' to each side of the equation. 10 + 3K + -2K = -21 + 2K + -2K Combine like terms: 3K + -2K = 1K 10 + 1K = -21 + 2K + -2K Combine like terms: 2K + -2K = 0 10 + 1K = -21 + 0 10 + 1K = -21 Add '-10' to each side of the equation. 10 + -10 + 1K = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 1K = -21 + -10 1K = -21 + -10 Combine like terms: -21 + -10 = -31 1K = -31 Divide each side by '1'. K = -31 Simplifying K = -31
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