3(r-4)=7r

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


Simplifying
3(r + -4) = 7r

Reorder the terms:
3(-4 + r) = 7r
(-4 * 3 + r * 3) = 7r
(-12 + 3r) = 7r

Solving
-12 + 3r = 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.
-12 + 3r + -7r = 7r + -7r

Combine like terms: 3r + -7r = -4r
-12 + -4r = 7r + -7r

Combine like terms: 7r + -7r = 0
-12 + -4r = 0

Add '12' to each side of the equation.
-12 + 12 + -4r = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -4r = 0 + 12
-4r = 0 + 12

Combine like terms: 0 + 12 = 12
-4r = 12

Divide each side by '-4'.
r = -3

Simplifying
r = -3

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