Question

Solve for t.
2=
–
4(t+7)–14
t=
explain the steps

Answer 1

I’m not 100% sure how your equation is meant to be grouped. Here are the two most likely interpretations and solutions — pick the one that matches your problem or tell me the exact formatting if neither is right.

1) If the equation is 2 = -4(t + 7) - 14:
- Distribute: 2 = -4t - 28 - 14 = -4t - 42
- Add 42 to both sides: 44 = -4t
- Divide by -4: t = 44/(-4) = -11

So t = -11.

2) If the equation is 2 = [ -4(t + 7) - 14 ] / t (i.e., the right side is divided by t):
- Multiply both sides by t: 2t = -4(t + 7) - 14
- Distribute on the right: 2t = -4t - 28 - 14 = -4t - 42
- Add 4t: 6t = -42
- Divide by 6: t = -42/6 = -7

So t = -7 (and t ≠ 0 is allowed).

Tell me which form you meant (or paste the equation exactly), and I’ll confirm.