3(2r-7)-4(r-8)=

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Solution for 3(2r-7)-4(r-8)= equation: 


Simplifying
3(2r + -7) + -4(r + -8) = 0

Reorder the terms:
3(-7 + 2r) + -4(r + -8) = 0
(-7 * 3 + 2r * 3) + -4(r + -8) = 0
(-21 + 6r) + -4(r + -8) = 0

Reorder the terms:
-21 + 6r + -4(-8 + r) = 0
-21 + 6r + (-8 * -4 + r * -4) = 0
-21 + 6r + (32 + -4r) = 0

Reorder the terms:
-21 + 32 + 6r + -4r = 0

Combine like terms: -21 + 32 = 11
11 + 6r + -4r = 0

Combine like terms: 6r + -4r = 2r
11 + 2r = 0

Solving
11 + 2r = 0

Solving for variable 'r'.

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

Add '-11' to each side of the equation.
11 + -11 + 2r = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2r = 0 + -11
2r = 0 + -11

Combine like terms: 0 + -11 = -11
2r = -11

Divide each side by '2'.
r = -5.5

Simplifying
r = -5.5

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