10(r+7)+10(r+28)+2(r+2)=18(r+2)+2(r+10)+2(r+3)

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Solution for 10(r+7)+10(r+28)+2(r+2)=18(r+2)+2(r+10)+2(r+3) equation:


10(r+7)+10(r+28)+2(r+2)=18(r+2)+2(r+10)+2(r+3)

We simplify the equation to the form, which is simple to understand 
10(r+7)+10(r+28)+2(r+2)=18(r+2)+2(r+10)+2(r+3)

Reorder the terms in parentheses
+(+10r+70)+10*(r+28)+2*(r+2)=18*(r+2)+2*(r+10)+2*(r+3)

Remove unnecessary parentheses
+10r+70+10+*(+r+28+)+2+*(+r+2+)=+18+*(+r+2+)+2+*(+r+10+)+2+*(+r+3+)

Reorder the terms in parentheses
+10r+70+(+10r+280)+2*(r+2)=18*(r+2)+2*(r+10)+2*(r+3)

Remove unnecessary parentheses
+10r+70+10r+280+2+*(+r+2+)=+18+*(+r+2+)+2+*(+r+10+)+2+*(+r+3+)

Reorder the terms in parentheses
+10r+70+10r+280+(+2r+4)=18*(r+2)+2*(r+10)+2*(r+3)

Remove unnecessary parentheses
+10r+70+10r+280+2r+4=+18+*(+r+2+)+2+*(+r+10+)+2+*(+r+3+)

Reorder the terms in parentheses
+10r+70+10r+280+2r+4=+(+18r+36)+2*(r+10)+2*(r+3)

Remove unnecessary parentheses
+10r+70+10r+280+2r+4=+18r+36+2+*(+r+10+)+2+*(+r+3+)

Reorder the terms in parentheses
+10r+70+10r+280+2r+4=+18r+36+(+2r+20)+2*(r+3)

Remove unnecessary parentheses
+10r+70+10r+280+2r+4=+18r+36+2r+20+2+*(+r+3+)

Reorder the terms in parentheses
+10r+70+10r+280+2r+4=+18r+36+2r+20+(+2r+6)

Remove unnecessary parentheses
+10r+70+10r+280+2r+4=+18r+36+2r+20+2r+6

We move all terms containing r to the left and all other terms to the right. 
+10r+10r+2r-18r-2r-2r=+36+20+6-70-280-4

We simplify left and right side of the equation. 
r=-292

0=-292

The left and right sides are not equal, therefore there is no solution. This equation is invalid.

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