4r+7=2r-13

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Solution for 4r+7=2r-13 equation:


Simplifying
4r + 7 = 2r + -13

Reorder the terms:
7 + 4r = 2r + -13

Reorder the terms:
7 + 4r = -13 + 2r

Solving
7 + 4r = -13 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
7 + 4r + -2r = -13 + 2r + -2r

Combine like terms: 4r + -2r = 2r
7 + 2r = -13 + 2r + -2r

Combine like terms: 2r + -2r = 0
7 + 2r = -13 + 0
7 + 2r = -13

Add '-7' to each side of the equation.
7 + -7 + 2r = -13 + -7

Combine like terms: 7 + -7 = 0
0 + 2r = -13 + -7
2r = -13 + -7

Combine like terms: -13 + -7 = -20
2r = -20

Divide each side by '2'.
r = -10

Simplifying
r = -10

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