Final answer:
To solve the equation 23 = -8u - 7 + 0.2u, simplify the terms and combine like terms. Then, isolate the variable u and solve for it.
Step-by-step explanation:
To solve the equation 23 = -8u - 7 + 0.2u, we need to simplify the terms on both sides of the equation and combine like terms. Start by combining the -8u and 0.2u terms to get -7.8u. Next, move the constant term -7 to the right side of the equation by adding 7 to both sides. This gives us 30 = -7.8u. Finally, divide both sides by -7.8 to solve for u.
30 / -7.8 = u
u ≈ -3.85