34+3r=r-3(-4r-8)

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Solution for 34+3r=r-3(-4r-8) equation: 


Simplifying
34 + 3r = r + -3(-4r + -8)

Reorder the terms:
34 + 3r = r + -3(-8 + -4r)
34 + 3r = r + (-8 * -3 + -4r * -3)
34 + 3r = r + (24 + 12r)

Reorder the terms:
34 + 3r = 24 + r + 12r

Combine like terms: r + 12r = 13r
34 + 3r = 24 + 13r

Solving
34 + 3r = 24 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
34 + 3r + -13r = 24 + 13r + -13r

Combine like terms: 3r + -13r = -10r
34 + -10r = 24 + 13r + -13r

Combine like terms: 13r + -13r = 0
34 + -10r = 24 + 0
34 + -10r = 24

Add '-34' to each side of the equation.
34 + -34 + -10r = 24 + -34

Combine like terms: 34 + -34 = 0
0 + -10r = 24 + -34
-10r = 24 + -34

Combine like terms: 24 + -34 = -10
-10r = -10

Divide each side by '-10'.
r = 1

Simplifying
r = 1

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