4(r+1)=6-2(3x-2)

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Solution for 4(r+1)=6-2(3x-2) equation: 


Simplifying
4(r + 1) = 6 + -2(3x + -2)

Reorder the terms:
4(1 + r) = 6 + -2(3x + -2)
(1 * 4 + r * 4) = 6 + -2(3x + -2)
(4 + 4r) = 6 + -2(3x + -2)

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

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

Solving
4 + 4r = 10 + -6x

Solving for variable 'r'.

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

Add '-4' to each side of the equation.
4 + -4 + 4r = 10 + -4 + -6x

Combine like terms: 4 + -4 = 0
0 + 4r = 10 + -4 + -6x
4r = 10 + -4 + -6x

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

Divide each side by '4'.
r = 1.5 + -1.5x

Simplifying
r = 1.5 + -1.5x

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