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Simplifying 4k + -8k = 3(4 + -3k) + -2(k + 6) Combine like terms: 4k + -8k = -4k -4k = 3(4 + -3k) + -2(k + 6) -4k = (4 * 3 + -3k * 3) + -2(k + 6) -4k = (12 + -9k) + -2(k + 6) Reorder the terms: -4k = 12 + -9k + -2(6 + k) -4k = 12 + -9k + (6 * -2 + k * -2) -4k = 12 + -9k + (-12 + -2k) Reorder the terms: -4k = 12 + -12 + -9k + -2k Combine like terms: 12 + -12 = 0 -4k = 0 + -9k + -2k -4k = -9k + -2k Combine like terms: -9k + -2k = -11k -4k = -11k Solving -4k = -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -4k + 11k = -11k + 11k Combine like terms: -4k + 11k = 7k 7k = -11k + 11k Combine like terms: -11k + 11k = 0 7k = 0 Divide each side by '7'. k = 0 Simplifying k = 0
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