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Simplifying -6(k + 4) = 30(k + -2) Reorder the terms: -6(4 + k) = 30(k + -2) (4 * -6 + k * -6) = 30(k + -2) (-24 + -6k) = 30(k + -2) Reorder the terms: -24 + -6k = 30(-2 + k) -24 + -6k = (-2 * 30 + k * 30) -24 + -6k = (-60 + 30k) Solving -24 + -6k = -60 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -24 + -6k + -30k = -60 + 30k + -30k Combine like terms: -6k + -30k = -36k -24 + -36k = -60 + 30k + -30k Combine like terms: 30k + -30k = 0 -24 + -36k = -60 + 0 -24 + -36k = -60 Add '24' to each side of the equation. -24 + 24 + -36k = -60 + 24 Combine like terms: -24 + 24 = 0 0 + -36k = -60 + 24 -36k = -60 + 24 Combine like terms: -60 + 24 = -36 -36k = -36 Divide each side by '-36'. k = 1 Simplifying k = 1
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