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Simplifying -6(8k + 4) = 8(6k + 3) + -2 Reorder the terms: -6(4 + 8k) = 8(6k + 3) + -2 (4 * -6 + 8k * -6) = 8(6k + 3) + -2 (-24 + -48k) = 8(6k + 3) + -2 Reorder the terms: -24 + -48k = 8(3 + 6k) + -2 -24 + -48k = (3 * 8 + 6k * 8) + -2 -24 + -48k = (24 + 48k) + -2 Reorder the terms: -24 + -48k = 24 + -2 + 48k Combine like terms: 24 + -2 = 22 -24 + -48k = 22 + 48k Solving -24 + -48k = 22 + 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. -24 + -48k + -48k = 22 + 48k + -48k Combine like terms: -48k + -48k = -96k -24 + -96k = 22 + 48k + -48k Combine like terms: 48k + -48k = 0 -24 + -96k = 22 + 0 -24 + -96k = 22 Add '24' to each side of the equation. -24 + 24 + -96k = 22 + 24 Combine like terms: -24 + 24 = 0 0 + -96k = 22 + 24 -96k = 22 + 24 Combine like terms: 22 + 24 = 46 -96k = 46 Divide each side by '-96'. k = -0.4791666667 Simplifying k = -0.4791666667
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