3+5(-4r-5)=-5r+23

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Solution for 3+5(-4r-5)=-5r+23 equation:


Simplifying
3 + 5(-4r + -5) = -5r + 23

Reorder the terms:
3 + 5(-5 + -4r) = -5r + 23
3 + (-5 * 5 + -4r * 5) = -5r + 23
3 + (-25 + -20r) = -5r + 23

Combine like terms: 3 + -25 = -22
-22 + -20r = -5r + 23

Reorder the terms:
-22 + -20r = 23 + -5r

Solving
-22 + -20r = 23 + -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.
-22 + -20r + 5r = 23 + -5r + 5r

Combine like terms: -20r + 5r = -15r
-22 + -15r = 23 + -5r + 5r

Combine like terms: -5r + 5r = 0
-22 + -15r = 23 + 0
-22 + -15r = 23

Add '22' to each side of the equation.
-22 + 22 + -15r = 23 + 22

Combine like terms: -22 + 22 = 0
0 + -15r = 23 + 22
-15r = 23 + 22

Combine like terms: 23 + 22 = 45
-15r = 45

Divide each side by '-15'.
r = -3

Simplifying
r = -3

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