6(r-1)=r-10

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Solution for 6(r-1)=r-10 equation:


Simplifying
6(r + -1) = r + -10

Reorder the terms:
6(-1 + r) = r + -10
(-1 * 6 + r * 6) = r + -10
(-6 + 6r) = r + -10

Reorder the terms:
-6 + 6r = -10 + r

Solving
-6 + 6r = -10 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-6 + 6r + -1r = -10 + r + -1r

Combine like terms: 6r + -1r = 5r
-6 + 5r = -10 + r + -1r

Combine like terms: r + -1r = 0
-6 + 5r = -10 + 0
-6 + 5r = -10

Add '6' to each side of the equation.
-6 + 6 + 5r = -10 + 6

Combine like terms: -6 + 6 = 0
0 + 5r = -10 + 6
5r = -10 + 6

Combine like terms: -10 + 6 = -4
5r = -4

Divide each side by '5'.
r = -0.8

Simplifying
r = -0.8

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