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Simplifying -1(3k + 2k) + -8(3 + -2k) = 0 Combine like terms: 3k + 2k = 5k -1(5k) + -8(3 + -2k) = 0 Remove parenthesis around (5k) -1 * 5k + -8(3 + -2k) = 0 Multiply -1 * 5 -5k + -8(3 + -2k) = 0 -5k + (3 * -8 + -2k * -8) = 0 -5k + (-24 + 16k) = 0 Reorder the terms: -24 + -5k + 16k = 0 Combine like terms: -5k + 16k = 11k -24 + 11k = 0 Solving -24 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 11k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 11k = 0 + 24 11k = 0 + 24 Combine like terms: 0 + 24 = 24 11k = 24 Divide each side by '11'. k = 2.181818182 Simplifying k = 2.181818182
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