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

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Solution for 4(r-2)-2(r-3)=6 equation:


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

Reorder the terms:
4(-2 + r) + -2(r + -3) = 6
(-2 * 4 + r * 4) + -2(r + -3) = 6
(-8 + 4r) + -2(r + -3) = 6

Reorder the terms:
-8 + 4r + -2(-3 + r) = 6
-8 + 4r + (-3 * -2 + r * -2) = 6
-8 + 4r + (6 + -2r) = 6

Reorder the terms:
-8 + 6 + 4r + -2r = 6

Combine like terms: -8 + 6 = -2
-2 + 4r + -2r = 6

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

Solving
-2 + 2r = 6

Solving for variable 'r'.

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

Add '2' to each side of the equation.
-2 + 2 + 2r = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 2r = 6 + 2
2r = 6 + 2

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

Divide each side by '2'.
r = 4

Simplifying
r = 4

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