3r+7(r+4)=7r+34

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Solution for 3r+7(r+4)=7r+34 equation: 


Simplifying
3r + 7(r + 4) = 7r + 34

Reorder the terms:
3r + 7(4 + r) = 7r + 34
3r + (4 * 7 + r * 7) = 7r + 34
3r + (28 + 7r) = 7r + 34

Reorder the terms:
28 + 3r + 7r = 7r + 34

Combine like terms: 3r + 7r = 10r
28 + 10r = 7r + 34

Reorder the terms:
28 + 10r = 34 + 7r

Solving
28 + 10r = 34 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
28 + 10r + -7r = 34 + 7r + -7r

Combine like terms: 10r + -7r = 3r
28 + 3r = 34 + 7r + -7r

Combine like terms: 7r + -7r = 0
28 + 3r = 34 + 0
28 + 3r = 34

Add '-28' to each side of the equation.
28 + -28 + 3r = 34 + -28

Combine like terms: 28 + -28 = 0
0 + 3r = 34 + -28
3r = 34 + -28

Combine like terms: 34 + -28 = 6
3r = 6

Divide each side by '3'.
r = 2

Simplifying
r = 2

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