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Simplifying 8(k + -3) = 12k + -4 Reorder the terms: 8(-3 + k) = 12k + -4 (-3 * 8 + k * 8) = 12k + -4 (-24 + 8k) = 12k + -4 Reorder the terms: -24 + 8k = -4 + 12k Solving -24 + 8k = -4 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -24 + 8k + -12k = -4 + 12k + -12k Combine like terms: 8k + -12k = -4k -24 + -4k = -4 + 12k + -12k Combine like terms: 12k + -12k = 0 -24 + -4k = -4 + 0 -24 + -4k = -4 Add '24' to each side of the equation. -24 + 24 + -4k = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -4k = -4 + 24 -4k = -4 + 24 Combine like terms: -4 + 24 = 20 -4k = 20 Divide each side by '-4'. k = -5 Simplifying k = -5
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