6r-37=-5(5-2r)

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Solution for 6r-37=-5(5-2r) equation:


Simplifying
6r + -37 = -5(5 + -2r)

Reorder the terms:
-37 + 6r = -5(5 + -2r)
-37 + 6r = (5 * -5 + -2r * -5)
-37 + 6r = (-25 + 10r)

Solving
-37 + 6r = -25 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
-37 + 6r + -10r = -25 + 10r + -10r

Combine like terms: 6r + -10r = -4r
-37 + -4r = -25 + 10r + -10r

Combine like terms: 10r + -10r = 0
-37 + -4r = -25 + 0
-37 + -4r = -25

Add '37' to each side of the equation.
-37 + 37 + -4r = -25 + 37

Combine like terms: -37 + 37 = 0
0 + -4r = -25 + 37
-4r = -25 + 37

Combine like terms: -25 + 37 = 12
-4r = 12

Divide each side by '-4'.
r = -3

Simplifying
r = -3

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