2(r-3)-2=(r-6)3

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Solution for 2(r-3)-2=(r-6)3 equation:


Simplifying
2(r + -3) + -2 = (r + -6) * 3

Reorder the terms:
2(-3 + r) + -2 = (r + -6) * 3
(-3 * 2 + r * 2) + -2 = (r + -6) * 3
(-6 + 2r) + -2 = (r + -6) * 3

Reorder the terms:
-6 + -2 + 2r = (r + -6) * 3

Combine like terms: -6 + -2 = -8
-8 + 2r = (r + -6) * 3

Reorder the terms:
-8 + 2r = (-6 + r) * 3

Reorder the terms for easier multiplication:
-8 + 2r = 3(-6 + r)
-8 + 2r = (-6 * 3 + r * 3)
-8 + 2r = (-18 + 3r)

Solving
-8 + 2r = -18 + 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.
-8 + 2r + -3r = -18 + 3r + -3r

Combine like terms: 2r + -3r = -1r
-8 + -1r = -18 + 3r + -3r

Combine like terms: 3r + -3r = 0
-8 + -1r = -18 + 0
-8 + -1r = -18

Add '8' to each side of the equation.
-8 + 8 + -1r = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -1r = -18 + 8
-1r = -18 + 8

Combine like terms: -18 + 8 = -10
-1r = -10

Divide each side by '-1'.
r = 10

Simplifying
r = 10

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