4r+7r+14=5r-75r+1-3

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Solution for 4r+7r+14=5r-75r+1-3 equation:


Simplifying
4r + 7r + 14 = 5r + -75r + 1 + -3

Reorder the terms:
14 + 4r + 7r = 5r + -75r + 1 + -3

Combine like terms: 4r + 7r = 11r
14 + 11r = 5r + -75r + 1 + -3

Reorder the terms:
14 + 11r = 1 + -3 + 5r + -75r

Combine like terms: 1 + -3 = -2
14 + 11r = -2 + 5r + -75r

Combine like terms: 5r + -75r = -70r
14 + 11r = -2 + -70r

Solving
14 + 11r = -2 + -70r

Solving for variable 'r'.

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

Add '70r' to each side of the equation.
14 + 11r + 70r = -2 + -70r + 70r

Combine like terms: 11r + 70r = 81r
14 + 81r = -2 + -70r + 70r

Combine like terms: -70r + 70r = 0
14 + 81r = -2 + 0
14 + 81r = -2

Add '-14' to each side of the equation.
14 + -14 + 81r = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 81r = -2 + -14
81r = -2 + -14

Combine like terms: -2 + -14 = -16
81r = -16

Divide each side by '81'.
r = -0.1975308642

Simplifying
r = -0.1975308642

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