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Simplifying 56 = -5(6k + -4) + -6(-8 + -4k) Reorder the terms: 56 = -5(-4 + 6k) + -6(-8 + -4k) 56 = (-4 * -5 + 6k * -5) + -6(-8 + -4k) 56 = (20 + -30k) + -6(-8 + -4k) 56 = 20 + -30k + (-8 * -6 + -4k * -6) 56 = 20 + -30k + (48 + 24k) Reorder the terms: 56 = 20 + 48 + -30k + 24k Combine like terms: 20 + 48 = 68 56 = 68 + -30k + 24k Combine like terms: -30k + 24k = -6k 56 = 68 + -6k Solving 56 = 68 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 56 + 6k = 68 + -6k + 6k Combine like terms: -6k + 6k = 0 56 + 6k = 68 + 0 56 + 6k = 68 Add '-56' to each side of the equation. 56 + -56 + 6k = 68 + -56 Combine like terms: 56 + -56 = 0 0 + 6k = 68 + -56 6k = 68 + -56 Combine like terms: 68 + -56 = 12 6k = 12 Divide each side by '6'. k = 2 Simplifying k = 2
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