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Simplifying -3(5k + 3) + -4(2k + -8) + -16k = 0 Reorder the terms: -3(3 + 5k) + -4(2k + -8) + -16k = 0 (3 * -3 + 5k * -3) + -4(2k + -8) + -16k = 0 (-9 + -15k) + -4(2k + -8) + -16k = 0 Reorder the terms: -9 + -15k + -4(-8 + 2k) + -16k = 0 -9 + -15k + (-8 * -4 + 2k * -4) + -16k = 0 -9 + -15k + (32 + -8k) + -16k = 0 Reorder the terms: -9 + 32 + -15k + -8k + -16k = 0 Combine like terms: -9 + 32 = 23 23 + -15k + -8k + -16k = 0 Combine like terms: -15k + -8k = -23k 23 + -23k + -16k = 0 Combine like terms: -23k + -16k = -39k 23 + -39k = 0 Solving 23 + -39k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -39k = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -39k = 0 + -23 -39k = 0 + -23 Combine like terms: 0 + -23 = -23 -39k = -23 Divide each side by '-39'. k = 0.5897435897 Simplifying k = 0.5897435897
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