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Simplifying 5(5 + -2) + -8 = 3K + -1(2k + -3) Combine like terms: 5 + -2 = 3 5(3) + -8 = 3K + -1(2k + -3) Multiply 5 * 3 15 + -8 = 3K + -1(2k + -3) Combine like terms: 15 + -8 = 7 7 = 3K + -1(2k + -3) Reorder the terms: 7 = 3K + -1(-3 + 2k) 7 = 3K + (-3 * -1 + 2k * -1) 7 = 3K + (3 + -2k) Reorder the terms: 7 = 3 + 3K + -2k Solving 7 = 3 + 3K + -2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-3K' to each side of the equation. 7 + -3K = 3 + 3K + -3K + -2k Combine like terms: 3K + -3K = 0 7 + -3K = 3 + 0 + -2k 7 + -3K = 3 + -2k Add '-7' to each side of the equation. 7 + -7 + -3K = 3 + -7 + -2k Combine like terms: 7 + -7 = 0 0 + -3K = 3 + -7 + -2k -3K = 3 + -7 + -2k Combine like terms: 3 + -7 = -4 -3K = -4 + -2k Divide each side by '-3'. K = 1.333333333 + 0.6666666667k Simplifying K = 1.333333333 + 0.6666666667k
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