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Simplifying 68 = -7(5k + -8) + 2(k + 6) Reorder the terms: 68 = -7(-8 + 5k) + 2(k + 6) 68 = (-8 * -7 + 5k * -7) + 2(k + 6) 68 = (56 + -35k) + 2(k + 6) Reorder the terms: 68 = 56 + -35k + 2(6 + k) 68 = 56 + -35k + (6 * 2 + k * 2) 68 = 56 + -35k + (12 + 2k) Reorder the terms: 68 = 56 + 12 + -35k + 2k Combine like terms: 56 + 12 = 68 68 = 68 + -35k + 2k Combine like terms: -35k + 2k = -33k 68 = 68 + -33k Add '-68' to each side of the equation. 68 + -68 = 68 + -68 + -33k Combine like terms: 68 + -68 = 0 0 = 68 + -68 + -33k Combine like terms: 68 + -68 = 0 0 = 0 + -33k 0 = -33k Solving 0 = -33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33k' to each side of the equation. 0 + 33k = -33k + 33k Remove the zero: 33k = -33k + 33k Combine like terms: -33k + 33k = 0 33k = 0 Divide each side by '33'. k = 0 Simplifying k = 0
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