-4r+6-2r=7r-10

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Solution for -4r+6-2r=7r-10 equation:


Simplifying
-4r + 6 + -2r = 7r + -10

Reorder the terms:
6 + -4r + -2r = 7r + -10

Combine like terms: -4r + -2r = -6r
6 + -6r = 7r + -10

Reorder the terms:
6 + -6r = -10 + 7r

Solving
6 + -6r = -10 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
6 + -6r + -7r = -10 + 7r + -7r

Combine like terms: -6r + -7r = -13r
6 + -13r = -10 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -13r = -10 + 0
6 + -13r = -10

Add '-6' to each side of the equation.
6 + -6 + -13r = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -13r = -10 + -6
-13r = -10 + -6

Combine like terms: -10 + -6 = -16
-13r = -16

Divide each side by '-13'.
r = 1.230769231

Simplifying
r = 1.230769231

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