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Simplifying 8 + -8(-6k + -4) = 5(2k + 8) + -4K Reorder the terms: 8 + -8(-4 + -6k) = 5(2k + 8) + -4K 8 + (-4 * -8 + -6k * -8) = 5(2k + 8) + -4K 8 + (32 + 48k) = 5(2k + 8) + -4K Combine like terms: 8 + 32 = 40 40 + 48k = 5(2k + 8) + -4K Reorder the terms: 40 + 48k = 5(8 + 2k) + -4K 40 + 48k = (8 * 5 + 2k * 5) + -4K 40 + 48k = (40 + 10k) + -4K Reorder the terms: 40 + 48k = 40 + -4K + 10k Add '-40' to each side of the equation. 40 + -40 + 48k = 40 + -4K + -40 + 10k Combine like terms: 40 + -40 = 0 0 + 48k = 40 + -4K + -40 + 10k 48k = 40 + -4K + -40 + 10k Reorder the terms: 48k = 40 + -40 + -4K + 10k Combine like terms: 40 + -40 = 0 48k = 0 + -4K + 10k 48k = -4K + 10k Solving 48k = -4K + 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. 48k + -10k = -4K + 10k + -10k Combine like terms: 48k + -10k = 38k 38k = -4K + 10k + -10k Combine like terms: 10k + -10k = 0 38k = -4K + 0 38k = -4K Divide each side by '38'. k = -0.1052631579K Simplifying k = -0.1052631579K
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