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Simplifying -2(5k + 4) = -6(2k + -7) Reorder the terms: -2(4 + 5k) = -6(2k + -7) (4 * -2 + 5k * -2) = -6(2k + -7) (-8 + -10k) = -6(2k + -7) Reorder the terms: -8 + -10k = -6(-7 + 2k) -8 + -10k = (-7 * -6 + 2k * -6) -8 + -10k = (42 + -12k) Solving -8 + -10k = 42 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -8 + -10k + 12k = 42 + -12k + 12k Combine like terms: -10k + 12k = 2k -8 + 2k = 42 + -12k + 12k Combine like terms: -12k + 12k = 0 -8 + 2k = 42 + 0 -8 + 2k = 42 Add '8' to each side of the equation. -8 + 8 + 2k = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = 42 + 8 2k = 42 + 8 Combine like terms: 42 + 8 = 50 2k = 50 Divide each side by '2'. k = 25 Simplifying k = 25
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