3(4r-8)-(1-3r)=35

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Solution for 3(4r-8)-(1-3r)=35 equation: 


Simplifying
3(4r + -8) + -1(1 + -3r) = 35

Reorder the terms:
3(-8 + 4r) + -1(1 + -3r) = 35
(-8 * 3 + 4r * 3) + -1(1 + -3r) = 35
(-24 + 12r) + -1(1 + -3r) = 35
-24 + 12r + (1 * -1 + -3r * -1) = 35
-24 + 12r + (-1 + 3r) = 35

Reorder the terms:
-24 + -1 + 12r + 3r = 35

Combine like terms: -24 + -1 = -25
-25 + 12r + 3r = 35

Combine like terms: 12r + 3r = 15r
-25 + 15r = 35

Solving
-25 + 15r = 35

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + 15r = 35 + 25

Combine like terms: -25 + 25 = 0
0 + 15r = 35 + 25
15r = 35 + 25

Combine like terms: 35 + 25 = 60
15r = 60

Divide each side by '15'.
r = 4

Simplifying
r = 4

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