5-(-7r)=3r-3

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Solution for 5-(-7r)=3r-3 equation:


Simplifying
5 + -1(-7r) = 3r + -3

Remove parenthesis around (-7r)
5 + -1 * -7r = 3r + -3

Multiply -1 * -7
5 + 7r = 3r + -3

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

Solving
5 + 7r = -3 + 3r

Solving for variable 'r'.

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

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

Combine like terms: 7r + -3r = 4r
5 + 4r = -3 + 3r + -3r

Combine like terms: 3r + -3r = 0
5 + 4r = -3 + 0
5 + 4r = -3

Add '-5' to each side of the equation.
5 + -5 + 4r = -3 + -5

Combine like terms: 5 + -5 = 0
0 + 4r = -3 + -5
4r = -3 + -5

Combine like terms: -3 + -5 = -8
4r = -8

Divide each side by '4'.
r = -2

Simplifying
r = -2

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