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Simplifying -1(3k + 4) = 6k + -4(3k + 2) Reorder the terms: -1(4 + 3k) = 6k + -4(3k + 2) (4 * -1 + 3k * -1) = 6k + -4(3k + 2) (-4 + -3k) = 6k + -4(3k + 2) Reorder the terms: -4 + -3k = 6k + -4(2 + 3k) -4 + -3k = 6k + (2 * -4 + 3k * -4) -4 + -3k = 6k + (-8 + -12k) Reorder the terms: -4 + -3k = -8 + 6k + -12k Combine like terms: 6k + -12k = -6k -4 + -3k = -8 + -6k Solving -4 + -3k = -8 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -4 + -3k + 6k = -8 + -6k + 6k Combine like terms: -3k + 6k = 3k -4 + 3k = -8 + -6k + 6k Combine like terms: -6k + 6k = 0 -4 + 3k = -8 + 0 -4 + 3k = -8 Add '4' to each side of the equation. -4 + 4 + 3k = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 3k = -8 + 4 3k = -8 + 4 Combine like terms: -8 + 4 = -4 3k = -4 Divide each side by '3'. k = -1.333333333 Simplifying k = -1.333333333
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