-4r+37=13-2(r-7)

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Solution for -4r+37=13-2(r-7) equation: 


Simplifying
-4r + 37 = 13 + -2(r + -7)

Reorder the terms:
37 + -4r = 13 + -2(r + -7)

Reorder the terms:
37 + -4r = 13 + -2(-7 + r)
37 + -4r = 13 + (-7 * -2 + r * -2)
37 + -4r = 13 + (14 + -2r)

Combine like terms: 13 + 14 = 27
37 + -4r = 27 + -2r

Solving
37 + -4r = 27 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
37 + -4r + 2r = 27 + -2r + 2r

Combine like terms: -4r + 2r = -2r
37 + -2r = 27 + -2r + 2r

Combine like terms: -2r + 2r = 0
37 + -2r = 27 + 0
37 + -2r = 27

Add '-37' to each side of the equation.
37 + -37 + -2r = 27 + -37

Combine like terms: 37 + -37 = 0
0 + -2r = 27 + -37
-2r = 27 + -37

Combine like terms: 27 + -37 = -10
-2r = -10

Divide each side by '-2'.
r = 5

Simplifying
r = 5

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