3r+7=r-5

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Solution for 3r+7=r-5 equation:


Simplifying
3r + 7 = r + -5

Reorder the terms:
7 + 3r = r + -5

Reorder the terms:
7 + 3r = -5 + r

Solving
7 + 3r = -5 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
7 + 3r + -1r = -5 + r + -1r

Combine like terms: 3r + -1r = 2r
7 + 2r = -5 + r + -1r

Combine like terms: r + -1r = 0
7 + 2r = -5 + 0
7 + 2r = -5

Add '-7' to each side of the equation.
7 + -7 + 2r = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 2r = -5 + -7
2r = -5 + -7

Combine like terms: -5 + -7 = -12
2r = -12

Divide each side by '2'.
r = -6

Simplifying
r = -6

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