4(r-1)+6=2r+12

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Solution for 4(r-1)+6=2r+12 equation:


Simplifying
4(r + -1) + 6 = 2r + 12

Reorder the terms:
4(-1 + r) + 6 = 2r + 12
(-1 * 4 + r * 4) + 6 = 2r + 12
(-4 + 4r) + 6 = 2r + 12

Reorder the terms:
-4 + 6 + 4r = 2r + 12

Combine like terms: -4 + 6 = 2
2 + 4r = 2r + 12

Reorder the terms:
2 + 4r = 12 + 2r

Solving
2 + 4r = 12 + 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.
2 + 4r + -2r = 12 + 2r + -2r

Combine like terms: 4r + -2r = 2r
2 + 2r = 12 + 2r + -2r

Combine like terms: 2r + -2r = 0
2 + 2r = 12 + 0
2 + 2r = 12

Add '-2' to each side of the equation.
2 + -2 + 2r = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 2r = 12 + -2
2r = 12 + -2

Combine like terms: 12 + -2 = 10
2r = 10

Divide each side by '2'.
r = 5

Simplifying
r = 5

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