3r+6=7r+-10

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Solution for 3r+6=7r+-10 equation:


Simplifying
3r + 6 = 7r + -10

Reorder the terms:
6 + 3r = 7r + -10

Reorder the terms:
6 + 3r = -10 + 7r

Solving
6 + 3r = -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 + 3r + -7r = -10 + 7r + -7r

Combine like terms: 3r + -7r = -4r
6 + -4r = -10 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -4r = -10 + 0
6 + -4r = -10

Add '-6' to each side of the equation.
6 + -6 + -4r = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4r = -10 + -6
-4r = -10 + -6

Combine like terms: -10 + -6 = -16
-4r = -16

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

Simplifying
r = 4

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