Solve 26.487+5.4a+2.7*9.8*0.53=0.15*2.7*9.8*0.85

$$26.487 + 5.4 a + 2.7 \times 9.8 \times 0.53 = 0.15 \times 2.7 \times 9.8 \times 0.85$$

Solve for a

$$a=-6.87725$$

Steps for Solving Linear Equation

Multiply 2.7 and 9.8 to get 26.46.

$$26.487+5.4a+26.46\times 0.53=0.15\times 2.7\times 9.8\times 0.85$$

Multiply 26.46 and 0.53 to get 14.0238.

$$26.487+5.4a+14.0238=0.15\times 2.7\times 9.8\times 0.85$$

Add 26.487 and 14.0238 to get 40.5108.

$$40.5108+5.4a=0.15\times 2.7\times 9.8\times 0.85$$

Multiply 0.15 and 2.7 to get 0.405.

$$40.5108+5.4a=0.405\times 9.8\times 0.85$$

Multiply 0.405 and 9.8 to get 3.969.

$$40.5108+5.4a=3.969\times 0.85$$

Multiply 3.969 and 0.85 to get 3.37365.

$$40.5108+5.4a=3.37365$$

Subtract 40.5108 from both sides.

$$5.4a=3.37365-40.5108$$

Subtract 40.5108 from 3.37365 to get -37.13715.

$$5.4a=-37.13715$$

Divide both sides by 5.4.

$$a=\frac{-37.13715}{5.4}$$

Expand \frac{-37.13715}{5.4} by multiplying both numerator and the denominator by 100000.

$$a=\frac{-3713715}{540000}$$

Reduce the fraction \frac{-3713715}{540000} to lowest terms by extracting and canceling out 135.

$$a=-\frac{27509}{4000}$$