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Simplifying 6 + 10k + -5k + 5k * 2 = 0 Reorder the terms for easier multiplication: 6 + 10k + -5k + 5 * 2k = 0 Multiply 5 * 2 6 + 10k + -5k + 10k = 0 Combine like terms: 10k + -5k = 5k 6 + 5k + 10k = 0 Combine like terms: 5k + 10k = 15k 6 + 15k = 0 Solving 6 + 15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 15k = 0 + -6 15k = 0 + -6 Combine like terms: 0 + -6 = -6 15k = -6 Divide each side by '15'. k = -0.4 Simplifying k = -0.4
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