6r+5=10r-15

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Solution for 6r+5=10r-15 equation:


Simplifying
6r + 5 = 10r + -15

Reorder the terms:
5 + 6r = 10r + -15

Reorder the terms:
5 + 6r = -15 + 10r

Solving
5 + 6r = -15 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
5 + 6r + -10r = -15 + 10r + -10r

Combine like terms: 6r + -10r = -4r
5 + -4r = -15 + 10r + -10r

Combine like terms: 10r + -10r = 0
5 + -4r = -15 + 0
5 + -4r = -15

Add '-5' to each side of the equation.
5 + -5 + -4r = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -4r = -15 + -5
-4r = -15 + -5

Combine like terms: -15 + -5 = -20
-4r = -20

Divide each side by '-4'.
r = 5

Simplifying
r = 5

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