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Simplifying 4(3k + -1) = 3 + 8k + -11 Reorder the terms: 4(-1 + 3k) = 3 + 8k + -11 (-1 * 4 + 3k * 4) = 3 + 8k + -11 (-4 + 12k) = 3 + 8k + -11 Reorder the terms: -4 + 12k = 3 + -11 + 8k Combine like terms: 3 + -11 = -8 -4 + 12k = -8 + 8k Solving -4 + 12k = -8 + 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. -4 + 12k + -8k = -8 + 8k + -8k Combine like terms: 12k + -8k = 4k -4 + 4k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 -4 + 4k = -8 + 0 -4 + 4k = -8 Add '4' to each side of the equation. -4 + 4 + 4k = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 4k = -8 + 4 4k = -8 + 4 Combine like terms: -8 + 4 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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