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Simplifying -4(3k + 5) = 16k Reorder the terms: -4(5 + 3k) = 16k (5 * -4 + 3k * -4) = 16k (-20 + -12k) = 16k Solving -20 + -12k = 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -20 + -12k + -16k = 16k + -16k Combine like terms: -12k + -16k = -28k -20 + -28k = 16k + -16k Combine like terms: 16k + -16k = 0 -20 + -28k = 0 Add '20' to each side of the equation. -20 + 20 + -28k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -28k = 0 + 20 -28k = 0 + 20 Combine like terms: 0 + 20 = 20 -28k = 20 Divide each side by '-28'. k = -0.7142857143 Simplifying k = -0.7142857143
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