Question

solve for t.
2 = -4(t + 7) - 14
t = \square

Explanation:

Step1: Simplify the right side

First, distribute the -4 in \(-4(t + 7)\): \(-4\times t + (-4)\times7=-4t - 28\). So the equation becomes \(2=-4t - 28 - 14\).

Step2: Combine like terms

Combine -28 and -14: \(-28-14 = -42\). Now the equation is \(2=-4t - 42\).

Step3: Isolate the term with t

Add 42 to both sides: \(2 + 42=-4t - 42 + 42\), which simplifies to \(44=-4t\).

Step4: Solve for t

Divide both sides by -4: \(\frac{44}{-4}=t\), so \(t=-11\).

Answer:

\(t = -11\)