-5(r-1)=-2(r-4)-6

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Solution for -5(r-1)=-2(r-4)-6 equation:


Simplifying
-5(r + -1) = -2(r + -4) + -6

Reorder the terms:
-5(-1 + r) = -2(r + -4) + -6
(-1 * -5 + r * -5) = -2(r + -4) + -6
(5 + -5r) = -2(r + -4) + -6

Reorder the terms:
5 + -5r = -2(-4 + r) + -6
5 + -5r = (-4 * -2 + r * -2) + -6
5 + -5r = (8 + -2r) + -6

Reorder the terms:
5 + -5r = 8 + -6 + -2r

Combine like terms: 8 + -6 = 2
5 + -5r = 2 + -2r

Solving
5 + -5r = 2 + -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.
5 + -5r + 2r = 2 + -2r + 2r

Combine like terms: -5r + 2r = -3r
5 + -3r = 2 + -2r + 2r

Combine like terms: -2r + 2r = 0
5 + -3r = 2 + 0
5 + -3r = 2

Add '-5' to each side of the equation.
5 + -5 + -3r = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -3r = 2 + -5
-3r = 2 + -5

Combine like terms: 2 + -5 = -3
-3r = -3

Divide each side by '-3'.
r = 1

Simplifying
r = 1

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