6r-7=-(1-5r)+2

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Solution for 6r-7=-(1-5r)+2 equation:


Simplifying
6r + -7 = -1(1 + -5r) + 2

Reorder the terms:
-7 + 6r = -1(1 + -5r) + 2
-7 + 6r = (1 * -1 + -5r * -1) + 2
-7 + 6r = (-1 + 5r) + 2

Reorder the terms:
-7 + 6r = -1 + 2 + 5r

Combine like terms: -1 + 2 = 1
-7 + 6r = 1 + 5r

Solving
-7 + 6r = 1 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-7 + 6r + -5r = 1 + 5r + -5r

Combine like terms: 6r + -5r = 1r
-7 + 1r = 1 + 5r + -5r

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

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

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

Combine like terms: 1 + 7 = 8
1r = 8

Divide each side by '1'.
r = 8

Simplifying
r = 8

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