5(5r+8)=8r-28

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Solution for 5(5r+8)=8r-28 equation:


Simplifying
5(5r + 8) = 8r + -28

Reorder the terms:
5(8 + 5r) = 8r + -28
(8 * 5 + 5r * 5) = 8r + -28
(40 + 25r) = 8r + -28

Reorder the terms:
40 + 25r = -28 + 8r

Solving
40 + 25r = -28 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
40 + 25r + -8r = -28 + 8r + -8r

Combine like terms: 25r + -8r = 17r
40 + 17r = -28 + 8r + -8r

Combine like terms: 8r + -8r = 0
40 + 17r = -28 + 0
40 + 17r = -28

Add '-40' to each side of the equation.
40 + -40 + 17r = -28 + -40

Combine like terms: 40 + -40 = 0
0 + 17r = -28 + -40
17r = -28 + -40

Combine like terms: -28 + -40 = -68
17r = -68

Divide each side by '17'.
r = -4

Simplifying
r = -4

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