4(r-9)+2=5(r+2)-25

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Solution for 4(r-9)+2=5(r+2)-25 equation: 


Simplifying
4(r + -9) + 2 = 5(r + 2) + -25

Reorder the terms:
4(-9 + r) + 2 = 5(r + 2) + -25
(-9 * 4 + r * 4) + 2 = 5(r + 2) + -25
(-36 + 4r) + 2 = 5(r + 2) + -25

Reorder the terms:
-36 + 2 + 4r = 5(r + 2) + -25

Combine like terms: -36 + 2 = -34
-34 + 4r = 5(r + 2) + -25

Reorder the terms:
-34 + 4r = 5(2 + r) + -25
-34 + 4r = (2 * 5 + r * 5) + -25
-34 + 4r = (10 + 5r) + -25

Reorder the terms:
-34 + 4r = 10 + -25 + 5r

Combine like terms: 10 + -25 = -15
-34 + 4r = -15 + 5r

Solving
-34 + 4r = -15 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-34 + 4r + -5r = -15 + 5r + -5r

Combine like terms: 4r + -5r = -1r
-34 + -1r = -15 + 5r + -5r

Combine like terms: 5r + -5r = 0
-34 + -1r = -15 + 0
-34 + -1r = -15

Add '34' to each side of the equation.
-34 + 34 + -1r = -15 + 34

Combine like terms: -34 + 34 = 0
0 + -1r = -15 + 34
-1r = -15 + 34

Combine like terms: -15 + 34 = 19
-1r = 19

Divide each side by '-1'.
r = -19

Simplifying
r = -19

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