3(5r-7)-4(r+5)=

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


Simplifying
3(5r + -7) + -4(r + 5) = 0

Reorder the terms:
3(-7 + 5r) + -4(r + 5) = 0
(-7 * 3 + 5r * 3) + -4(r + 5) = 0
(-21 + 15r) + -4(r + 5) = 0

Reorder the terms:
-21 + 15r + -4(5 + r) = 0
-21 + 15r + (5 * -4 + r * -4) = 0
-21 + 15r + (-20 + -4r) = 0

Reorder the terms:
-21 + -20 + 15r + -4r = 0

Combine like terms: -21 + -20 = -41
-41 + 15r + -4r = 0

Combine like terms: 15r + -4r = 11r
-41 + 11r = 0

Solving
-41 + 11r = 0

Solving for variable 'r'.

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

Add '41' to each side of the equation.
-41 + 41 + 11r = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 11r = 0 + 41
11r = 0 + 41

Combine like terms: 0 + 41 = 41
11r = 41

Divide each side by '11'.
r = 3.727272727

Simplifying
r = 3.727272727

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