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Simplifying 2k(2) + -1k + 3 + 5k(2) + 3k + -7 = 0 Reorder the terms for easier multiplication: 2 * 2k + -1k + 3 + 5k(2) + 3k + -7 = 0 Multiply 2 * 2 4k + -1k + 3 + 5k(2) + 3k + -7 = 0 Reorder the terms for easier multiplication: 4k + -1k + 3 + 5 * 2k + 3k + -7 = 0 Multiply 5 * 2 4k + -1k + 3 + 10k + 3k + -7 = 0 Reorder the terms: 3 + -7 + 4k + -1k + 10k + 3k = 0 Combine like terms: 3 + -7 = -4 -4 + 4k + -1k + 10k + 3k = 0 Combine like terms: 4k + -1k = 3k -4 + 3k + 10k + 3k = 0 Combine like terms: 3k + 10k = 13k -4 + 13k + 3k = 0 Combine like terms: 13k + 3k = 16k -4 + 16k = 0 Solving -4 + 16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 16k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 16k = 0 + 4 16k = 0 + 4 Combine like terms: 0 + 4 = 4 16k = 4 Divide each side by '16'. k = 0.25 Simplifying k = 0.25
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