4r-5=14r+10

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Solution for 4r-5=14r+10 equation:


Simplifying
4r + -5 = 14r + 10

Reorder the terms:
-5 + 4r = 14r + 10

Reorder the terms:
-5 + 4r = 10 + 14r

Solving
-5 + 4r = 10 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-5 + 4r + -14r = 10 + 14r + -14r

Combine like terms: 4r + -14r = -10r
-5 + -10r = 10 + 14r + -14r

Combine like terms: 14r + -14r = 0
-5 + -10r = 10 + 0
-5 + -10r = 10

Add '5' to each side of the equation.
-5 + 5 + -10r = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -10r = 10 + 5
-10r = 10 + 5

Combine like terms: 10 + 5 = 15
-10r = 15

Divide each side by '-10'.
r = -1.5

Simplifying
r = -1.5

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