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Simplifying 8 = -4(1 + -3k) + -4k 8 = (1 * -4 + -3k * -4) + -4k 8 = (-4 + 12k) + -4k Combine like terms: 12k + -4k = 8k 8 = -4 + 8k Solving 8 = -4 + 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. 8 + -8k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 8 + -8k = -4 + 0 8 + -8k = -4 Add '-8' to each side of the equation. 8 + -8 + -8k = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -8k = -4 + -8 -8k = -4 + -8 Combine like terms: -4 + -8 = -12 -8k = -12 Divide each side by '-8'. k = 1.5 Simplifying k = 1.5
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