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Simplifying 4(-3k + 8) = -18 + -2k Reorder the terms: 4(8 + -3k) = -18 + -2k (8 * 4 + -3k * 4) = -18 + -2k (32 + -12k) = -18 + -2k Solving 32 + -12k = -18 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 32 + -12k + 2k = -18 + -2k + 2k Combine like terms: -12k + 2k = -10k 32 + -10k = -18 + -2k + 2k Combine like terms: -2k + 2k = 0 32 + -10k = -18 + 0 32 + -10k = -18 Add '-32' to each side of the equation. 32 + -32 + -10k = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -10k = -18 + -32 -10k = -18 + -32 Combine like terms: -18 + -32 = -50 -10k = -50 Divide each side by '-10'. k = 5 Simplifying k = 5
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