3r+4=r+2(-r+8)

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Solution for 3r+4=r+2(-r+8) equation:


Simplifying
3r + 4 = r + 2(-1r + 8)

Reorder the terms:
4 + 3r = r + 2(-1r + 8)

Reorder the terms:
4 + 3r = r + 2(8 + -1r)
4 + 3r = r + (8 * 2 + -1r * 2)
4 + 3r = r + (16 + -2r)

Reorder the terms:
4 + 3r = 16 + r + -2r

Combine like terms: r + -2r = -1r
4 + 3r = 16 + -1r

Solving
4 + 3r = 16 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
4 + 3r + r = 16 + -1r + r

Combine like terms: 3r + r = 4r
4 + 4r = 16 + -1r + r

Combine like terms: -1r + r = 0
4 + 4r = 16 + 0
4 + 4r = 16

Add '-4' to each side of the equation.
4 + -4 + 4r = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 4r = 16 + -4
4r = 16 + -4

Combine like terms: 16 + -4 = 12
4r = 12

Divide each side by '4'.
r = 3

Simplifying
r = 3

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