Question

which expression is equivalent to -2(-6u - 8) - 3? 12u - 11 -8(-6u - 2) - 3 -6(-2u - 8) - 3 -2(-8u + 2u - 8) - 3

Explanation:

Step1: Distribute the -2 to terms inside

$-2(-6u - 8) = (-2)(-6u) + (-2)(-8) = 12u + 16$

Step2: Subtract 3 from the result

$12u + 16 - 3 = 12u + 13$

Step3: Simplify each option

Option1: $12u - 11$ (does not match)
Option2: $-8(-6u - 2) - 3 = 48u + 16 - 3 = 48u + 13$ (does not match)
Option3: $-6(-2u - 8) - 3 = 12u + 48 - 3 = 12u + 45$ (does not match)
Option4: $-2(-8u + 2u - 8) - 3 = -2(-6u - 8) - 3 = 12u + 16 - 3 = 12u + 13$ (matches)

Answer:

-2(-8u + 2u - 8) - 3