Solve -3=4/3(-4)+c

$$- 3 = 4 / 3 ( - 4 ) + c$$

Solve for c

$$c = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Express \frac{4}{3}\left(-4\right) as a single fraction.

$$-3=\frac{4\left(-4\right)}{3}+c$$

Multiply 4 and -4 to get -16.

$$-3=\frac{-16}{3}+c$$

Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$-3=-\frac{16}{3}+c$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{16}{3}+c=-3$$

Add \frac{16}{3} to both sides.

$$c=-3+\frac{16}{3}$$

Convert -3 to fraction -\frac{9}{3}.

$$c=-\frac{9}{3}+\frac{16}{3}$$

Since -\frac{9}{3} and \frac{16}{3} have the same denominator, add them by adding their numerators.

$$c=\frac{-9+16}{3}$$

Add -9 and 16 to get 7.

$$c=\frac{7}{3}$$