8(4-r)-7(-2-7r)=46

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Solution for 8(4-r)-7(-2-7r)=46 equation: 


Simplifying
8(4 + -1r) + -7(-2 + -7r) = 46
(4 * 8 + -1r * 8) + -7(-2 + -7r) = 46
(32 + -8r) + -7(-2 + -7r) = 46
32 + -8r + (-2 * -7 + -7r * -7) = 46
32 + -8r + (14 + 49r) = 46

Reorder the terms:
32 + 14 + -8r + 49r = 46

Combine like terms: 32 + 14 = 46
46 + -8r + 49r = 46

Combine like terms: -8r + 49r = 41r
46 + 41r = 46

Add '-46' to each side of the equation.
46 + -46 + 41r = 46 + -46

Combine like terms: 46 + -46 = 0
0 + 41r = 46 + -46
41r = 46 + -46

Combine like terms: 46 + -46 = 0
41r = 0

Solving
41r = 0

Solving for variable 'r'.

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

Divide each side by '41'.
r = 0

Simplifying
r = 0

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