3r-4(6r-7)=28-5r

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Solution for 3r-4(6r-7)=28-5r equation: 


Simplifying
3r + -4(6r + -7) = 28 + -5r

Reorder the terms:
3r + -4(-7 + 6r) = 28 + -5r
3r + (-7 * -4 + 6r * -4) = 28 + -5r
3r + (28 + -24r) = 28 + -5r

Reorder the terms:
28 + 3r + -24r = 28 + -5r

Combine like terms: 3r + -24r = -21r
28 + -21r = 28 + -5r

Add '-28' to each side of the equation.
28 + -28 + -21r = 28 + -28 + -5r

Combine like terms: 28 + -28 = 0
0 + -21r = 28 + -28 + -5r
-21r = 28 + -28 + -5r

Combine like terms: 28 + -28 = 0
-21r = 0 + -5r
-21r = -5r

Solving
-21r = -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
-21r + 5r = -5r + 5r

Combine like terms: -21r + 5r = -16r
-16r = -5r + 5r

Combine like terms: -5r + 5r = 0
-16r = 0

Divide each side by '-16'.
r = 0

Simplifying
r = 0

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