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Simplifying 5(2k + 2) + -4(2k + 6) = 0 Reorder the terms: 5(2 + 2k) + -4(2k + 6) = 0 (2 * 5 + 2k * 5) + -4(2k + 6) = 0 (10 + 10k) + -4(2k + 6) = 0 Reorder the terms: 10 + 10k + -4(6 + 2k) = 0 10 + 10k + (6 * -4 + 2k * -4) = 0 10 + 10k + (-24 + -8k) = 0 Reorder the terms: 10 + -24 + 10k + -8k = 0 Combine like terms: 10 + -24 = -14 -14 + 10k + -8k = 0 Combine like terms: 10k + -8k = 2k -14 + 2k = 0 Solving -14 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2k = 0 + 14 2k = 0 + 14 Combine like terms: 0 + 14 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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