4r-5(-5r+6)=-204

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Solution for 4r-5(-5r+6)=-204 equation:


Simplifying
4r + -5(-5r + 6) = -204

Reorder the terms:
4r + -5(6 + -5r) = -204
4r + (6 * -5 + -5r * -5) = -204
4r + (-30 + 25r) = -204

Reorder the terms:
-30 + 4r + 25r = -204

Combine like terms: 4r + 25r = 29r
-30 + 29r = -204

Solving
-30 + 29r = -204

Solving for variable 'r'.

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

Add '30' to each side of the equation.
-30 + 30 + 29r = -204 + 30

Combine like terms: -30 + 30 = 0
0 + 29r = -204 + 30
29r = -204 + 30

Combine like terms: -204 + 30 = -174
29r = -174

Divide each side by '29'.
r = -6

Simplifying
r = -6

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