Question

solve the equation. check your solution.
6 - 7t = 14 + t
○ {14}
○ {-1}
○ {6/7}
○ {-6/7}

Explanation:

Step1: Isolate t terms

Add $7t$ to both sides.
$6 - 7t + 7t = 14 + t + 7t$
$6 = 14 + 8t$

Step2: Isolate constant terms

Subtract 14 from both sides.
$6 - 14 = 14 + 8t - 14$
$-8 = 8t$

Step3: Solve for t

Divide by 8 on both sides.
$\frac{-8}{8} = \frac{8t}{8}$
$t = -1$

Step4: Verify the solution

Substitute $t=-1$ into original equation.
Left side: $6 - 7(-1) = 6 + 7 = 13$
Right side: $14 + (-1) = 13$
Both sides are equal, so solution is valid.

Answer:

$\boldsymbol{\{-1\}}$ (Option B)