Answer:
We conclude that the equivalent expression is:
[tex]3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z[/tex]
Step-by-step explanation:
Given the expression
[tex]3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)[/tex]
Remove parentheses: (a) = a
[tex]=3\times \:2x+4\times \:5y+4\times \:2z[/tex]
Multiply the numbers: 3 × 2 = 6
[tex]=6x+4\times \:5y+4\times \:2z[/tex]
Multiply the numbers: 4 × 5 = 20
[tex]=6x+20y+4\times \:2z[/tex]
Multiply the numbers: 4 × 2 = 8
[tex]=6x+20y+8z[/tex]
Thus, we conclude that the equivalent expression is:
[tex]3\left(2x\right)+4y\left(5\right)+\left(4\times \:2z\right)=6x+20y+8z[/tex]