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Simplifying 6(k + -8) + 4(-1 + -3k) = 0 Reorder the terms: 6(-8 + k) + 4(-1 + -3k) = 0 (-8 * 6 + k * 6) + 4(-1 + -3k) = 0 (-48 + 6k) + 4(-1 + -3k) = 0 -48 + 6k + (-1 * 4 + -3k * 4) = 0 -48 + 6k + (-4 + -12k) = 0 Reorder the terms: -48 + -4 + 6k + -12k = 0 Combine like terms: -48 + -4 = -52 -52 + 6k + -12k = 0 Combine like terms: 6k + -12k = -6k -52 + -6k = 0 Solving -52 + -6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -6k = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -6k = 0 + 52 -6k = 0 + 52 Combine like terms: 0 + 52 = 52 -6k = 52 Divide each side by '-6'. k = -8.666666667 Simplifying k = -8.666666667
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