-35+7r=4r-(r+7)

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Solution for -35+7r=4r-(r+7) equation:


Simplifying
-35 + 7r = 4r + -1(r + 7)

Reorder the terms:
-35 + 7r = 4r + -1(7 + r)
-35 + 7r = 4r + (7 * -1 + r * -1)
-35 + 7r = 4r + (-7 + -1r)

Reorder the terms:
-35 + 7r = -7 + 4r + -1r

Combine like terms: 4r + -1r = 3r
-35 + 7r = -7 + 3r

Solving
-35 + 7r = -7 + 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.
-35 + 7r + -3r = -7 + 3r + -3r

Combine like terms: 7r + -3r = 4r
-35 + 4r = -7 + 3r + -3r

Combine like terms: 3r + -3r = 0
-35 + 4r = -7 + 0
-35 + 4r = -7

Add '35' to each side of the equation.
-35 + 35 + 4r = -7 + 35

Combine like terms: -35 + 35 = 0
0 + 4r = -7 + 35
4r = -7 + 35

Combine like terms: -7 + 35 = 28
4r = 28

Divide each side by '4'.
r = 7

Simplifying
r = 7

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