2-4(5r-8)=114

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Solution for 2-4(5r-8)=114 equation:


Simplifying
2 + -4(5r + -8) = 114

Reorder the terms:
2 + -4(-8 + 5r) = 114
2 + (-8 * -4 + 5r * -4) = 114
2 + (32 + -20r) = 114

Combine like terms: 2 + 32 = 34
34 + -20r = 114

Solving
34 + -20r = 114

Solving for variable 'r'.

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

Add '-34' to each side of the equation.
34 + -34 + -20r = 114 + -34

Combine like terms: 34 + -34 = 0
0 + -20r = 114 + -34
-20r = 114 + -34

Combine like terms: 114 + -34 = 80
-20r = 80

Divide each side by '-20'.
r = -4

Simplifying
r = -4

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