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Simplifying 5k + -1(-8 + -6k) = -6(k + -7) 5k + (-8 * -1 + -6k * -1) = -6(k + -7) 5k + (8 + 6k) = -6(k + -7) Reorder the terms: 8 + 5k + 6k = -6(k + -7) Combine like terms: 5k + 6k = 11k 8 + 11k = -6(k + -7) Reorder the terms: 8 + 11k = -6(-7 + k) 8 + 11k = (-7 * -6 + k * -6) 8 + 11k = (42 + -6k) Solving 8 + 11k = 42 + -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. 8 + 11k + 6k = 42 + -6k + 6k Combine like terms: 11k + 6k = 17k 8 + 17k = 42 + -6k + 6k Combine like terms: -6k + 6k = 0 8 + 17k = 42 + 0 8 + 17k = 42 Add '-8' to each side of the equation. 8 + -8 + 17k = 42 + -8 Combine like terms: 8 + -8 = 0 0 + 17k = 42 + -8 17k = 42 + -8 Combine like terms: 42 + -8 = 34 17k = 34 Divide each side by '17'. k = 2 Simplifying k = 2
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