3r-7(4+7r)=-212

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Solution for 3r-7(4+7r)=-212 equation: 


Simplifying
3r + -7(4 + 7r) = -212
3r + (4 * -7 + 7r * -7) = -212
3r + (-28 + -49r) = -212

Reorder the terms:
-28 + 3r + -49r = -212

Combine like terms: 3r + -49r = -46r
-28 + -46r = -212

Solving
-28 + -46r = -212

Solving for variable 'r'.

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

Add '28' to each side of the equation.
-28 + 28 + -46r = -212 + 28

Combine like terms: -28 + 28 = 0
0 + -46r = -212 + 28
-46r = -212 + 28

Combine like terms: -212 + 28 = -184
-46r = -184

Divide each side by '-46'.
r = 4

Simplifying
r = 4

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