Final answer:
To solve for z in the equation 10 = (4 - z) / (-3), multiply both sides by -3, subtract 4 from both sides, then multiply by -1, yielding z = 34.
Step-by-step explanation:
To solve the equation 10 = (4 - z) / (-3) for z, you need to follow a few simple algebraic steps. First, multiply both sides of the equation by -3 to get rid of the denominator on the right side, resulting in -30 = 4 - z. Next, you want to isolate z by subtracting 4 from both sides, which gives you -34 = -z. Lastly, you multiply both sides by -1 to solve for z, obtaining z = 34.