3r-4(5r+7)=37-4r

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Solution for 3r-4(5r+7)=37-4r equation:


Simplifying
3r + -4(5r + 7) = 37 + -4r

Reorder the terms:
3r + -4(7 + 5r) = 37 + -4r
3r + (7 * -4 + 5r * -4) = 37 + -4r
3r + (-28 + -20r) = 37 + -4r

Reorder the terms:
-28 + 3r + -20r = 37 + -4r

Combine like terms: 3r + -20r = -17r
-28 + -17r = 37 + -4r

Solving
-28 + -17r = 37 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
-28 + -17r + 4r = 37 + -4r + 4r

Combine like terms: -17r + 4r = -13r
-28 + -13r = 37 + -4r + 4r

Combine like terms: -4r + 4r = 0
-28 + -13r = 37 + 0
-28 + -13r = 37

Add '28' to each side of the equation.
-28 + 28 + -13r = 37 + 28

Combine like terms: -28 + 28 = 0
0 + -13r = 37 + 28
-13r = 37 + 28

Combine like terms: 37 + 28 = 65
-13r = 65

Divide each side by '-13'.
r = -5

Simplifying
r = -5

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