37-8r=-3-8(3r+5)

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Solution for 37-8r=-3-8(3r+5) equation:


Simplifying
37 + -8r = -3 + -8(3r + 5)

Reorder the terms:
37 + -8r = -3 + -8(5 + 3r)
37 + -8r = -3 + (5 * -8 + 3r * -8)
37 + -8r = -3 + (-40 + -24r)

Combine like terms: -3 + -40 = -43
37 + -8r = -43 + -24r

Solving
37 + -8r = -43 + -24r

Solving for variable 'r'.

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

Add '24r' to each side of the equation.
37 + -8r + 24r = -43 + -24r + 24r

Combine like terms: -8r + 24r = 16r
37 + 16r = -43 + -24r + 24r

Combine like terms: -24r + 24r = 0
37 + 16r = -43 + 0
37 + 16r = -43

Add '-37' to each side of the equation.
37 + -37 + 16r = -43 + -37

Combine like terms: 37 + -37 = 0
0 + 16r = -43 + -37
16r = -43 + -37

Combine like terms: -43 + -37 = -80
16r = -80

Divide each side by '16'.
r = -5

Simplifying
r = -5

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