What is the answer to this equation? -41=-2/5(45n+60)+n

the blocks for this one is 216 tenths and 18 ones

1

step-by-step explanation:

1 simplify  

25(45n+60)\frac{2}{5}(45n+60)

​5

​

​2

​​(45n+60) to  

2(45n+60)5\frac{2(45n+60)}{5}

​5

​

​2(45n+60)

​​.

−41=−2(45n+60)5+n-41=-\frac{2(45n+60)}{5}+n

−41=−

​5

​

​2(45n+60)

​​+n

2 factor out the common term  

1515

15.

−41=−2×15(3n+4)5+n-41=-\frac{2\times 15(3n+4)}{5}+n

−41=−

​5

​

​2×15(3n+4)

​​+n

3 simplify  

2×15(3n+4)2\times 15(3n+4)

2×15(3n+4) to  

30(3n+4)30(3n+4)

30(3n+4).

−41=−30(3n+4)5+n-41=-\frac{30(3n+4)}{5}+n

−41=−

​5

​

​30(3n+4)

​​+n

4 simplify  

30(3n+4)5\frac{30(3n+4)}{5}

​5

​

​30(3n+4)

​​to  

6(3n+4)6(3n+4)

6(3n+4).

−41=−6(3n+4)+n-41=-6(3n+4)+n

−41=−6(3n+4)+n

5 expand.

−41=−18n−24+n-41=-18n-24+n

−41=−18n−24+n

6 simplify  

−18n−24+n-18n-24+n

−18n−24+n to  

−17n−24-17n-24

−17n−24.

−41=−17n−24-41=-17n-24

−41=−17n−24

7 add  

2424

24 to both sides.

−41+24=−17n-41+24=-17n

−41+24=−17n

8 simplify  

−41+24-41+24

−41+24 to  

−17-17

−17.

−17=−17n-17=-17n

−17=−17n

9 divide both sides by  

−17-17

−17.

1=n1=n

1=n

10 switch sides.

n=1n=1

n=1