Solve -(2t-0.71)=0.9(1.4-t)

$$- ( 2 t - 0.71 ) = 0.9 ( 1.4 - t )$$

Solve for t

$$t=-0.5$$

Steps for Solving Linear Equation

To find the opposite of 2t-0.71, find the opposite of each term.

$$-2t-\left(-0.71\right)=0.9\left(1.4-t\right)$$

The opposite of -0.71 is 0.71.

$$-2t+0.71=0.9\left(1.4-t\right)$$

Use the distributive property to multiply 0.9 by 1.4-t.

$$-2t+0.71=1.26-0.9t$$

Add 0.9t to both sides.

$$-2t+0.71+0.9t=1.26$$

Combine -2t and 0.9t to get -1.1t.

$$-1.1t+0.71=1.26$$

Subtract 0.71 from both sides.

$$-1.1t=1.26-0.71$$

Subtract 0.71 from 1.26 to get 0.55.

$$-1.1t=0.55$$

Divide both sides by -1.1.

$$t=\frac{0.55}{-1.1}$$

Expand \frac{0.55}{-1.1} by multiplying both numerator and the denominator by 100.

$$t=\frac{55}{-110}$$

Reduce the fraction \frac{55}{-110} to lowest terms by extracting and canceling out 55.

$$t=-\frac{1}{2}$$