4r+2=7r+11

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Solution for 4r+2=7r+11 equation:


Simplifying
4r + 2 = 7r + 11

Reorder the terms:
2 + 4r = 7r + 11

Reorder the terms:
2 + 4r = 11 + 7r

Solving
2 + 4r = 11 + 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.
2 + 4r + -7r = 11 + 7r + -7r

Combine like terms: 4r + -7r = -3r
2 + -3r = 11 + 7r + -7r

Combine like terms: 7r + -7r = 0
2 + -3r = 11 + 0
2 + -3r = 11

Add '-2' to each side of the equation.
2 + -2 + -3r = 11 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = 11 + -2
-3r = 11 + -2

Combine like terms: 11 + -2 = 9
-3r = 9

Divide each side by '-3'.
r = -3

Simplifying
r = -3

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