32=20r+5(4r+5)

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Solution for 32=20r+5(4r+5) equation:


Simplifying
32 = 20r + 5(4r + 5)

Reorder the terms:
32 = 20r + 5(5 + 4r)
32 = 20r + (5 * 5 + 4r * 5)
32 = 20r + (25 + 20r)

Reorder the terms:
32 = 25 + 20r + 20r

Combine like terms: 20r + 20r = 40r
32 = 25 + 40r

Solving
32 = 25 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
32 + -40r = 25 + 40r + -40r

Combine like terms: 40r + -40r = 0
32 + -40r = 25 + 0
32 + -40r = 25

Add '-32' to each side of the equation.
32 + -32 + -40r = 25 + -32

Combine like terms: 32 + -32 = 0
0 + -40r = 25 + -32
-40r = 25 + -32

Combine like terms: 25 + -32 = -7
-40r = -7

Divide each side by '-40'.
r = 0.175

Simplifying
r = 0.175

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