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10/7(2r+9)+1/9(-5r+8)=5/3(-7r+5)
We simplify the equation to the form, which is simple to understand
10/7(2r+9)+1/9(-5r+8)=5/3(-7r+5)
Simplifying:
+1.42857142857*(2r+9)+1/9*(-5r+8)=5/3*(-7r+5)
Simplifying:
+1.42857142857*(2r+9) + 0.111111111111*(-5r+8)=5/3*(-7r+5)
Simplifying:
+1.42857142857*(2r+9) + 0.111111111111*(-5r+8)=+1.66666666667*(-7r+5)
Reorder the terms in parentheses
+(+2.85714285714r+12.8571428571) + 0.111111111111*(-5r+8)=+1.66666666667*(-7r+5)
Remove unnecessary parentheses
+2.85714285714r+12.8571428571 + 0.111111111111+*(-5r+8+)=+1.66666666667+*(-7r+5+)
Reorder the terms in parentheses
+2.85714285714r+12.8571428571+(-0.555555555556r + 0.888888888889)=+1.66666666667*(-7r+5)
Remove unnecessary parentheses
+2.85714285714r+12.8571428571-0.555555555556r + 0.888888888889=+1.66666666667+*(-7r+5+)
Reorder the terms in parentheses
+2.85714285714r+12.8571428571-0.555555555556r + 0.888888888889=+(-11.6666666667r+8.33333333333)
Remove unnecessary parentheses
+2.85714285714r+12.8571428571-0.555555555556r + 0.888888888889=-11.6666666667r+8.33333333333
We move all terms containing r to the left and all other terms to the right.
+2.85714285714r-0.555555555556r+11.6666666667r=+8.33333333333-12.8571428571-0.888888888889
We simplify left and right side of the equation.
+13.9682539683r=-5.41269841266
We divide both sides of the equation by 13.9682539683 to get r.
r=-0.387499999996
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