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Simplifying k * 2 + 5k * 2 + 3k * 2 + 10k * 2 + -5k * 2 = 0 Reorder the terms for easier multiplication: 2k + 5k * 2 + 3k * 2 + 10k * 2 + -5k * 2 = 0 Reorder the terms for easier multiplication: 2k + 5 * 2k + 3k * 2 + 10k * 2 + -5k * 2 = 0 Multiply 5 * 2 2k + 10k + 3k * 2 + 10k * 2 + -5k * 2 = 0 Reorder the terms for easier multiplication: 2k + 10k + 3 * 2k + 10k * 2 + -5k * 2 = 0 Multiply 3 * 2 2k + 10k + 6k + 10k * 2 + -5k * 2 = 0 Reorder the terms for easier multiplication: 2k + 10k + 6k + 10 * 2k + -5k * 2 = 0 Multiply 10 * 2 2k + 10k + 6k + 20k + -5k * 2 = 0 Reorder the terms for easier multiplication: 2k + 10k + 6k + 20k + -5 * 2k = 0 Multiply -5 * 2 2k + 10k + 6k + 20k + -10k = 0 Combine like terms: 2k + 10k = 12k 12k + 6k + 20k + -10k = 0 Combine like terms: 12k + 6k = 18k 18k + 20k + -10k = 0 Combine like terms: 18k + 20k = 38k 38k + -10k = 0 Combine like terms: 38k + -10k = 28k 28k = 0 Solving 28k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '28'. k = 0 Simplifying k = 0
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