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Simplifying 5k + -8 + -1(2k + 4) = 0 Reorder the terms: 5k + -8 + -1(4 + 2k) = 0 5k + -8 + (4 * -1 + 2k * -1) = 0 5k + -8 + (-4 + -2k) = 0 Reorder the terms: -8 + -4 + 5k + -2k = 0 Combine like terms: -8 + -4 = -12 -12 + 5k + -2k = 0 Combine like terms: 5k + -2k = 3k -12 + 3k = 0 Solving -12 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3k = 0 + 12 3k = 0 + 12 Combine like terms: 0 + 12 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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