-145=5(5r-8)-4r

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Solution for -145=5(5r-8)-4r equation:


Simplifying
-145 = 5(5r + -8) + -4r

Reorder the terms:
-145 = 5(-8 + 5r) + -4r
-145 = (-8 * 5 + 5r * 5) + -4r
-145 = (-40 + 25r) + -4r

Combine like terms: 25r + -4r = 21r
-145 = -40 + 21r

Solving
-145 = -40 + 21r

Solving for variable 'r'.

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

Add '-21r' to each side of the equation.
-145 + -21r = -40 + 21r + -21r

Combine like terms: 21r + -21r = 0
-145 + -21r = -40 + 0
-145 + -21r = -40

Add '145' to each side of the equation.
-145 + 145 + -21r = -40 + 145

Combine like terms: -145 + 145 = 0
0 + -21r = -40 + 145
-21r = -40 + 145

Combine like terms: -40 + 145 = 105
-21r = 105

Divide each side by '-21'.
r = -5

Simplifying
r = -5

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