-5(2r+8)=3(11-4r)-58

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Solution for -5(2r+8)=3(11-4r)-58 equation:


Simplifying
-5(2r + 8) = 3(11 + -4r) + -58

Reorder the terms:
-5(8 + 2r) = 3(11 + -4r) + -58
(8 * -5 + 2r * -5) = 3(11 + -4r) + -58
(-40 + -10r) = 3(11 + -4r) + -58
-40 + -10r = (11 * 3 + -4r * 3) + -58
-40 + -10r = (33 + -12r) + -58

Reorder the terms:
-40 + -10r = 33 + -58 + -12r

Combine like terms: 33 + -58 = -25
-40 + -10r = -25 + -12r

Solving
-40 + -10r = -25 + -12r

Solving for variable 'r'.

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

Add '12r' to each side of the equation.
-40 + -10r + 12r = -25 + -12r + 12r

Combine like terms: -10r + 12r = 2r
-40 + 2r = -25 + -12r + 12r

Combine like terms: -12r + 12r = 0
-40 + 2r = -25 + 0
-40 + 2r = -25

Add '40' to each side of the equation.
-40 + 40 + 2r = -25 + 40

Combine like terms: -40 + 40 = 0
0 + 2r = -25 + 40
2r = -25 + 40

Combine like terms: -25 + 40 = 15
2r = 15

Divide each side by '2'.
r = 7.5

Simplifying
r = 7.5

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