31-7r=-6r-4(1-r)

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Solution for 31-7r=-6r-4(1-r) equation:


Simplifying
31 + -7r = -6r + -4(1 + -1r)
31 + -7r = -6r + (1 * -4 + -1r * -4)
31 + -7r = -6r + (-4 + 4r)

Reorder the terms:
31 + -7r = -4 + -6r + 4r

Combine like terms: -6r + 4r = -2r
31 + -7r = -4 + -2r

Solving
31 + -7r = -4 + -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.
31 + -7r + 2r = -4 + -2r + 2r

Combine like terms: -7r + 2r = -5r
31 + -5r = -4 + -2r + 2r

Combine like terms: -2r + 2r = 0
31 + -5r = -4 + 0
31 + -5r = -4

Add '-31' to each side of the equation.
31 + -31 + -5r = -4 + -31

Combine like terms: 31 + -31 = 0
0 + -5r = -4 + -31
-5r = -4 + -31

Combine like terms: -4 + -31 = -35
-5r = -35

Divide each side by '-5'.
r = 7

Simplifying
r = 7

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