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Simplifying 2(5k + -6) + -4(k + 7) = 0 Reorder the terms: 2(-6 + 5k) + -4(k + 7) = 0 (-6 * 2 + 5k * 2) + -4(k + 7) = 0 (-12 + 10k) + -4(k + 7) = 0 Reorder the terms: -12 + 10k + -4(7 + k) = 0 -12 + 10k + (7 * -4 + k * -4) = 0 -12 + 10k + (-28 + -4k) = 0 Reorder the terms: -12 + -28 + 10k + -4k = 0 Combine like terms: -12 + -28 = -40 -40 + 10k + -4k = 0 Combine like terms: 10k + -4k = 6k -40 + 6k = 0 Solving -40 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 6k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 6k = 0 + 40 6k = 0 + 40 Combine like terms: 0 + 40 = 40 6k = 40 Divide each side by '6'. k = 6.666666667 Simplifying k = 6.666666667
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