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

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


Simplifying
8(-3 + 2r) + 4(6r + -2) = 8
(-3 * 8 + 2r * 8) + 4(6r + -2) = 8
(-24 + 16r) + 4(6r + -2) = 8

Reorder the terms:
-24 + 16r + 4(-2 + 6r) = 8
-24 + 16r + (-2 * 4 + 6r * 4) = 8
-24 + 16r + (-8 + 24r) = 8

Reorder the terms:
-24 + -8 + 16r + 24r = 8

Combine like terms: -24 + -8 = -32
-32 + 16r + 24r = 8

Combine like terms: 16r + 24r = 40r
-32 + 40r = 8

Solving
-32 + 40r = 8

Solving for variable 'r'.

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

Add '32' to each side of the equation.
-32 + 32 + 40r = 8 + 32

Combine like terms: -32 + 32 = 0
0 + 40r = 8 + 32
40r = 8 + 32

Combine like terms: 8 + 32 = 40
40r = 40

Divide each side by '40'.
r = 1

Simplifying
r = 1

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