Solve -3.57=3(a+4.51)

$$- 3.57 = 3 ( a + 4.51 )$$

Solve for a

$$a=-5.7$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$\frac{-3.57}{3}=a+4.51$$

Expand \frac{-3.57}{3} by multiplying both numerator and the denominator by 100.

$$\frac{-357}{300}=a+4.51$$

Reduce the fraction \frac{-357}{300} to lowest terms by extracting and canceling out 3.

$$-\frac{119}{100}=a+4.51$$

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

$$a+4.51=-\frac{119}{100}$$

Subtract 4.51 from both sides.

$$a=-\frac{119}{100}-4.51$$

Convert decimal number 4.51 to fraction \frac{451}{100}.

$$a=-\frac{119}{100}-\frac{451}{100}$$

Since -\frac{119}{100} and \frac{451}{100} have the same denominator, subtract them by subtracting their numerators.

$$a=\frac{-119-451}{100}$$

Subtract 451 from -119 to get -570.

$$a=\frac{-570}{100}$$

Reduce the fraction \frac{-570}{100} to lowest terms by extracting and canceling out 10.

$$a=-\frac{57}{10}$$