Solve -4/3w+1=-7/3w-7/2

$$- \frac { 4 } { 3 } w + 1 = - \frac { 7 } { 3 } w - \frac { 7 } { 2 }$$

Solve for w

$$w = -\frac{9}{2} = -4\frac{1}{2} = -4.5$$

Steps for Solving Linear Equation

Add \frac{7}{3}w to both sides.

$$-\frac{4}{3}w+1+\frac{7}{3}w=-\frac{7}{2}$$

Combine -\frac{4}{3}w and \frac{7}{3}w to get w.

$$w+1=-\frac{7}{2}$$

Subtract 1 from both sides.

$$w=-\frac{7}{2}-1$$

Convert 1 to fraction \frac{2}{2}.

$$w=-\frac{7}{2}-\frac{2}{2}$$

Since -\frac{7}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$w=\frac{-7-2}{2}$$

Subtract 2 from -7 to get -9.

$$w=-\frac{9}{2}$$