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Simplifying 4(k + -5) + 12k = -4 Reorder the terms: 4(-5 + k) + 12k = -4 (-5 * 4 + k * 4) + 12k = -4 (-20 + 4k) + 12k = -4 Combine like terms: 4k + 12k = 16k -20 + 16k = -4 Solving -20 + 16k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 16k = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 16k = -4 + 20 16k = -4 + 20 Combine like terms: -4 + 20 = 16 16k = 16 Divide each side by '16'. k = 1 Simplifying k = 1
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