Solve 5/11(t-1)-61/11=-6

$$\frac { 5 } { 11 } ( t - 1 ) - \frac { 61 } { 11 } = - 6$$

Solve for t

$$t=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{5}{11} by t-1.

$$\frac{5}{11}t+\frac{5}{11}\left(-1\right)-\frac{61}{11}=-6$$

Multiply \frac{5}{11} and -1 to get -\frac{5}{11}.

$$\frac{5}{11}t-\frac{5}{11}-\frac{61}{11}=-6$$

Since -\frac{5}{11} and \frac{61}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{11}t+\frac{-5-61}{11}=-6$$

Subtract 61 from -5 to get -66.

$$\frac{5}{11}t+\frac{-66}{11}=-6$$

Divide -66 by 11 to get -6.

$$\frac{5}{11}t-6=-6$$

Add 6 to both sides.

$$\frac{5}{11}t=-6+6$$

Add -6 and 6 to get 0.

$$\frac{5}{11}t=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{5}{11} is not equal to 0, t must be equal to 0.

$$t=0$$