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Simplifying 3(5k + 8) + -4(k + 4) = 0 Reorder the terms: 3(8 + 5k) + -4(k + 4) = 0 (8 * 3 + 5k * 3) + -4(k + 4) = 0 (24 + 15k) + -4(k + 4) = 0 Reorder the terms: 24 + 15k + -4(4 + k) = 0 24 + 15k + (4 * -4 + k * -4) = 0 24 + 15k + (-16 + -4k) = 0 Reorder the terms: 24 + -16 + 15k + -4k = 0 Combine like terms: 24 + -16 = 8 8 + 15k + -4k = 0 Combine like terms: 15k + -4k = 11k 8 + 11k = 0 Solving 8 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11k = 0 + -8 11k = 0 + -8 Combine like terms: 0 + -8 = -8 11k = -8 Divide each side by '11'. k = -0.7272727273 Simplifying k = -0.7272727273
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