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

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


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

Combine like terms: -4 + 6 = 2
2 = -2r + 4(r + -3)

Reorder the terms:
2 = -2r + 4(-3 + r)
2 = -2r + (-3 * 4 + r * 4)
2 = -2r + (-12 + 4r)

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

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

Solving
2 = -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 + -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 = -14
-2r = -14

Divide each side by '-2'.
r = 7

Simplifying
r = 7

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