7r-(3r-7)=51

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Solution for 7r-(3r-7)=51 equation:


Simplifying
7r + -1(3r + -7) = 51

Reorder the terms:
7r + -1(-7 + 3r) = 51
7r + (-7 * -1 + 3r * -1) = 51
7r + (7 + -3r) = 51

Reorder the terms:
7 + 7r + -3r = 51

Combine like terms: 7r + -3r = 4r
7 + 4r = 51

Solving
7 + 4r = 51

Solving for variable 'r'.

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

Add '-7' to each side of the equation.
7 + -7 + 4r = 51 + -7

Combine like terms: 7 + -7 = 0
0 + 4r = 51 + -7
4r = 51 + -7

Combine like terms: 51 + -7 = 44
4r = 44

Divide each side by '4'.
r = 11

Simplifying
r = 11

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