Solve -4=4/3(-4)+θ

$$-4 = \frac{ 4 }{ 3 } (-4)+ \theta$$

Solve for θ

$$\theta =\frac{4}{3}\approx 1.333333333$$

Steps for Solving Linear Equation

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

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

Multiply 4 and -4 to get -16.

$$-4=\frac{-16}{3}+\theta$$

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

$$-4=-\frac{16}{3}+\theta$$

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

$$-\frac{16}{3}+\theta =-4$$

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

$$\theta =-4+\frac{16}{3}$$

Convert -4 to fraction -\frac{12}{3}.

$$\theta =-\frac{12}{3}+\frac{16}{3}$$

Since -\frac{12}{3} and \frac{16}{3} have the same denominator, add them by adding their numerators.

$$\theta =\frac{-12+16}{3}$$

Add -12 and 16 to get 4.

$$\theta =\frac{4}{3}$$