3(r-7)+3(r-1)=4r+3

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Solution for 3(r-7)+3(r-1)=4r+3 equation:


Simplifying
3(r + -7) + 3(r + -1) = 4r + 3

Reorder the terms:
3(-7 + r) + 3(r + -1) = 4r + 3
(-7 * 3 + r * 3) + 3(r + -1) = 4r + 3
(-21 + 3r) + 3(r + -1) = 4r + 3

Reorder the terms:
-21 + 3r + 3(-1 + r) = 4r + 3
-21 + 3r + (-1 * 3 + r * 3) = 4r + 3
-21 + 3r + (-3 + 3r) = 4r + 3

Reorder the terms:
-21 + -3 + 3r + 3r = 4r + 3

Combine like terms: -21 + -3 = -24
-24 + 3r + 3r = 4r + 3

Combine like terms: 3r + 3r = 6r
-24 + 6r = 4r + 3

Reorder the terms:
-24 + 6r = 3 + 4r

Solving
-24 + 6r = 3 + 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.
-24 + 6r + -4r = 3 + 4r + -4r

Combine like terms: 6r + -4r = 2r
-24 + 2r = 3 + 4r + -4r

Combine like terms: 4r + -4r = 0
-24 + 2r = 3 + 0
-24 + 2r = 3

Add '24' to each side of the equation.
-24 + 24 + 2r = 3 + 24

Combine like terms: -24 + 24 = 0
0 + 2r = 3 + 24
2r = 3 + 24

Combine like terms: 3 + 24 = 27
2r = 27

Divide each side by '2'.
r = 13.5

Simplifying
r = 13.5

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