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Simplifying 144 + -4(4)(k + -3) = 0 Reorder the terms: 144 + -4 * 4(-3 + k) = 0 Multiply -4 * 4 144 + -16(-3 + k) = 0 144 + (-3 * -16 + k * -16) = 0 144 + (48 + -16k) = 0 Combine like terms: 144 + 48 = 192 192 + -16k = 0 Solving 192 + -16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-192' to each side of the equation. 192 + -192 + -16k = 0 + -192 Combine like terms: 192 + -192 = 0 0 + -16k = 0 + -192 -16k = 0 + -192 Combine like terms: 0 + -192 = -192 -16k = -192 Divide each side by '-16'. k = 12 Simplifying k = 12
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