3r-4=4(r-3)

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


Simplifying
3r + -4 = 4(r + -3)

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

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

Solving
-4 + 3r = -12 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-4 + 3r + -4r = -12 + 4r + -4r

Combine like terms: 3r + -4r = -1r
-4 + -1r = -12 + 4r + -4r

Combine like terms: 4r + -4r = 0
-4 + -1r = -12 + 0
-4 + -1r = -12

Add '4' to each side of the equation.
-4 + 4 + -1r = -12 + 4

Combine like terms: -4 + 4 = 0
0 + -1r = -12 + 4
-1r = -12 + 4

Combine like terms: -12 + 4 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8

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