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Simplifying 6(4k + 8) + -8(7k + -7) = -56 Reorder the terms: 6(8 + 4k) + -8(7k + -7) = -56 (8 * 6 + 4k * 6) + -8(7k + -7) = -56 (48 + 24k) + -8(7k + -7) = -56 Reorder the terms: 48 + 24k + -8(-7 + 7k) = -56 48 + 24k + (-7 * -8 + 7k * -8) = -56 48 + 24k + (56 + -56k) = -56 Reorder the terms: 48 + 56 + 24k + -56k = -56 Combine like terms: 48 + 56 = 104 104 + 24k + -56k = -56 Combine like terms: 24k + -56k = -32k 104 + -32k = -56 Solving 104 + -32k = -56 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -32k = -56 + -104 Combine like terms: 104 + -104 = 0 0 + -32k = -56 + -104 -32k = -56 + -104 Combine like terms: -56 + -104 = -160 -32k = -160 Divide each side by '-32'. k = 5 Simplifying k = 5
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