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Simplifying -3(k + -1) + -8k = -8(k + -3) Reorder the terms: -3(-1 + k) + -8k = -8(k + -3) (-1 * -3 + k * -3) + -8k = -8(k + -3) (3 + -3k) + -8k = -8(k + -3) Combine like terms: -3k + -8k = -11k 3 + -11k = -8(k + -3) Reorder the terms: 3 + -11k = -8(-3 + k) 3 + -11k = (-3 * -8 + k * -8) 3 + -11k = (24 + -8k) Solving 3 + -11k = 24 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 3 + -11k + 8k = 24 + -8k + 8k Combine like terms: -11k + 8k = -3k 3 + -3k = 24 + -8k + 8k Combine like terms: -8k + 8k = 0 3 + -3k = 24 + 0 3 + -3k = 24 Add '-3' to each side of the equation. 3 + -3 + -3k = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = 24 + -3 -3k = 24 + -3 Combine like terms: 24 + -3 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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