6+3(6r-6)=2r+4(1+8r)

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Solution for 6+3(6r-6)=2r+4(1+8r) equation: 


Simplifying
6 + 3(6r + -6) = 2r + 4(1 + 8r)

Reorder the terms:
6 + 3(-6 + 6r) = 2r + 4(1 + 8r)
6 + (-6 * 3 + 6r * 3) = 2r + 4(1 + 8r)
6 + (-18 + 18r) = 2r + 4(1 + 8r)

Combine like terms: 6 + -18 = -12
-12 + 18r = 2r + 4(1 + 8r)
-12 + 18r = 2r + (1 * 4 + 8r * 4)
-12 + 18r = 2r + (4 + 32r)

Reorder the terms:
-12 + 18r = 4 + 2r + 32r

Combine like terms: 2r + 32r = 34r
-12 + 18r = 4 + 34r

Solving
-12 + 18r = 4 + 34r

Solving for variable 'r'.

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

Add '-34r' to each side of the equation.
-12 + 18r + -34r = 4 + 34r + -34r

Combine like terms: 18r + -34r = -16r
-12 + -16r = 4 + 34r + -34r

Combine like terms: 34r + -34r = 0
-12 + -16r = 4 + 0
-12 + -16r = 4

Add '12' to each side of the equation.
-12 + 12 + -16r = 4 + 12

Combine like terms: -12 + 12 = 0
0 + -16r = 4 + 12
-16r = 4 + 12

Combine like terms: 4 + 12 = 16
-16r = 16

Divide each side by '-16'.
r = -1

Simplifying
r = -1

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