6+4[r-2]=r+7

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Solution for 6+4[r-2]=r+7 equation: 


Simplifying
6 + 4[r + -2] = r + 7

Reorder the terms:
6 + 4[-2 + r] = r + 7
6 + [-2 * 4 + r * 4] = r + 7
6 + [-8 + 4r] = r + 7

Combine like terms: 6 + -8 = -2
-2 + 4r = r + 7

Reorder the terms:
-2 + 4r = 7 + r

Solving
-2 + 4r = 7 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-2 + 4r + -1r = 7 + r + -1r

Combine like terms: 4r + -1r = 3r
-2 + 3r = 7 + r + -1r

Combine like terms: r + -1r = 0
-2 + 3r = 7 + 0
-2 + 3r = 7

Add '2' to each side of the equation.
-2 + 2 + 3r = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3r = 7 + 2
3r = 7 + 2

Combine like terms: 7 + 2 = 9
3r = 9

Divide each side by '3'.
r = 3

Simplifying
r = 3

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