-2(5r+10)+4(2r+9)=

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Solution for -2(5r+10)+4(2r+9)= equation:


Simplifying
-2(5r + 10) + 4(2r + 9) = 0

Reorder the terms:
-2(10 + 5r) + 4(2r + 9) = 0
(10 * -2 + 5r * -2) + 4(2r + 9) = 0
(-20 + -10r) + 4(2r + 9) = 0

Reorder the terms:
-20 + -10r + 4(9 + 2r) = 0
-20 + -10r + (9 * 4 + 2r * 4) = 0
-20 + -10r + (36 + 8r) = 0

Reorder the terms:
-20 + 36 + -10r + 8r = 0

Combine like terms: -20 + 36 = 16
16 + -10r + 8r = 0

Combine like terms: -10r + 8r = -2r
16 + -2r = 0

Solving
16 + -2r = 0

Solving for variable 'r'.

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

Add '-16' to each side of the equation.
16 + -16 + -2r = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2r = 0 + -16
-2r = 0 + -16

Combine like terms: 0 + -16 = -16
-2r = -16

Divide each side by '-2'.
r = 8

Simplifying
r = 8

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