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

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


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

Reorder the terms:
1 + -4(-1 + 4r) = 2r + 1 + -8
1 + (-1 * -4 + 4r * -4) = 2r + 1 + -8
1 + (4 + -16r) = 2r + 1 + -8

Combine like terms: 1 + 4 = 5
5 + -16r = 2r + 1 + -8

Reorder the terms:
5 + -16r = 1 + -8 + 2r

Combine like terms: 1 + -8 = -7
5 + -16r = -7 + 2r

Solving
5 + -16r = -7 + 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.
5 + -16r + -2r = -7 + 2r + -2r

Combine like terms: -16r + -2r = -18r
5 + -18r = -7 + 2r + -2r

Combine like terms: 2r + -2r = 0
5 + -18r = -7 + 0
5 + -18r = -7

Add '-5' to each side of the equation.
5 + -5 + -18r = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -18r = -7 + -5
-18r = -7 + -5

Combine like terms: -7 + -5 = -12
-18r = -12

Divide each side by '-18'.
r = 0.6666666667

Simplifying
r = 0.6666666667

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