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Simplifying 6(1 + -8k) + 5(8k + -4) = -12k + 6k (1 * 6 + -8k * 6) + 5(8k + -4) = -12k + 6k (6 + -48k) + 5(8k + -4) = -12k + 6k Reorder the terms: 6 + -48k + 5(-4 + 8k) = -12k + 6k 6 + -48k + (-4 * 5 + 8k * 5) = -12k + 6k 6 + -48k + (-20 + 40k) = -12k + 6k Reorder the terms: 6 + -20 + -48k + 40k = -12k + 6k Combine like terms: 6 + -20 = -14 -14 + -48k + 40k = -12k + 6k Combine like terms: -48k + 40k = -8k -14 + -8k = -12k + 6k Combine like terms: -12k + 6k = -6k -14 + -8k = -6k Solving -14 + -8k = -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. -14 + -8k + 6k = -6k + 6k Combine like terms: -8k + 6k = -2k -14 + -2k = -6k + 6k Combine like terms: -6k + 6k = 0 -14 + -2k = 0 Add '14' to each side of the equation. -14 + 14 + -2k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = 0 + 14 -2k = 0 + 14 Combine like terms: 0 + 14 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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