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Simplifying 0 = (1 + -3k) + -4(2 + 2.5K) Remove parenthesis around (1 + -3k) 0 = 1 + -3k + -4(2 + 2.5K) 0 = 1 + -3k + (2 * -4 + 2.5K * -4) 0 = 1 + -3k + (-8 + -10K) Reorder the terms: 0 = 1 + -8 + -10K + -3k Combine like terms: 1 + -8 = -7 0 = -7 + -10K + -3k Solving 0 = -7 + -10K + -3k 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. 0 + 10K = -7 + -10K + 10K + -3k Remove the zero: 10K = -7 + -10K + 10K + -3k Combine like terms: -10K + 10K = 0 10K = -7 + 0 + -3k 10K = -7 + -3k Divide each side by '10'. K = -0.7 + -0.3k Simplifying K = -0.7 + -0.3k
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