-9(5r+10)+6(10r+5)=

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Solution for -9(5r+10)+6(10r+5)= equation:


Simplifying
-9(5r + 10) + 6(10r + 5) = 0

Reorder the terms:
-9(10 + 5r) + 6(10r + 5) = 0
(10 * -9 + 5r * -9) + 6(10r + 5) = 0
(-90 + -45r) + 6(10r + 5) = 0

Reorder the terms:
-90 + -45r + 6(5 + 10r) = 0
-90 + -45r + (5 * 6 + 10r * 6) = 0
-90 + -45r + (30 + 60r) = 0

Reorder the terms:
-90 + 30 + -45r + 60r = 0

Combine like terms: -90 + 30 = -60
-60 + -45r + 60r = 0

Combine like terms: -45r + 60r = 15r
-60 + 15r = 0

Solving
-60 + 15r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '60' to each side of the equation.
-60 + 60 + 15r = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 15r = 0 + 60
15r = 0 + 60

Combine like terms: 0 + 60 = 60
15r = 60

Divide each side by '15'.
r = 4

Simplifying
r = 4

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