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Simplifying -4(2k + -3) = 4 + -10k Reorder the terms: -4(-3 + 2k) = 4 + -10k (-3 * -4 + 2k * -4) = 4 + -10k (12 + -8k) = 4 + -10k Solving 12 + -8k = 4 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 12 + -8k + 10k = 4 + -10k + 10k Combine like terms: -8k + 10k = 2k 12 + 2k = 4 + -10k + 10k Combine like terms: -10k + 10k = 0 12 + 2k = 4 + 0 12 + 2k = 4 Add '-12' to each side of the equation. 12 + -12 + 2k = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 4 + -12 2k = 4 + -12 Combine like terms: 4 + -12 = -8 2k = -8 Divide each side by '2'. k = -4 Simplifying k = -4
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